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Finding the Fourth Proportional to 1,584.54, 2,186.73 and 885.78

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Solution

The fourth proportional to 1,584.54, 2,186.73 and 885.78 is: 1,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.54 : 2,186.73 = 885.78 : x
  2. Step 2: Convert to fraction form
    1,584.54/2,186.73 = 885.78/x
  3. Step 3: Cross multiply
    1,584.54x = 2,186.73 × 885.78
  4. Step 4: Simplify right side
    1,584.54x = 1,936,961.70
  5. Step 5: Solve for x
    x = 1,936,961.70/1,584.54
  6. Step 6: Final answer
    x = 1,222.41

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Half scale
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Double scale
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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.