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Finding the Fourth Proportional to 3,062.71, 4,593.71 and 982.02

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Solution

The fourth proportional to 3,062.71, 4,593.71 and 982.02 is: 1,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.71 : 4,593.71 = 982.02 : x
  2. Step 2: Convert to fraction form
    3,062.71/4,593.71 = 982.02/x
  3. Step 3: Cross multiply
    3,062.71x = 4,593.71 × 982.02
  4. Step 4: Simplify right side
    3,062.71x = 4,511,110.18
  5. Step 5: Solve for x
    x = 4,511,110.18/3,062.71
  6. Step 6: Final answer
    x = 1,472.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.