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Finding the Fourth Proportional to 1,584.25, 2,186.34 and 885.63

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Solution

The fourth proportional to 1,584.25, 2,186.34 and 885.63 is: 1,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.25 : 2,186.34 = 885.63 : x
  2. Step 2: Convert to fraction form
    1,584.25/2,186.34 = 885.63/x
  3. Step 3: Cross multiply
    1,584.25x = 2,186.34 × 885.63
  4. Step 4: Simplify right side
    1,584.25x = 1,936,282.83
  5. Step 5: Solve for x
    x = 1,936,282.83/1,584.25
  6. Step 6: Final answer
    x = 1,222.21

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,585.25, 2,187.72 and 886.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.