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Finding the Fourth Proportional to 1,583.25, 2,185.02 and 884.76

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Solution

The fourth proportional to 1,583.25, 2,185.02 and 884.76 is: 1,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.25 : 2,185.02 = 884.76 : x
  2. Step 2: Convert to fraction form
    1,583.25/2,185.02 = 884.76/x
  3. Step 3: Cross multiply
    1,583.25x = 2,185.02 × 884.76
  4. Step 4: Simplify right side
    1,583.25x = 1,933,218.30
  5. Step 5: Solve for x
    x = 1,933,218.30/1,583.25
  6. Step 6: Final answer
    x = 1,221.04

Related Problems

Find fourth proportional to 791.63, 1,092.51 and 442.38
Half scale
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Double scale
Find fourth proportional to 1,584.25, 2,186.40 and 885.76
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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.