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Finding the Fourth Proportional to 2,502.74, 3,753.59 and 942.71

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Solution

The fourth proportional to 2,502.74, 3,753.59 and 942.71 is: 1,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.74 : 3,753.59 = 942.71 : x
  2. Step 2: Convert to fraction form
    2,502.74/3,753.59 = 942.71/x
  3. Step 3: Cross multiply
    2,502.74x = 3,753.59 × 942.71
  4. Step 4: Simplify right side
    2,502.74x = 3,538,528.06
  5. Step 5: Solve for x
    x = 3,538,528.06/2,502.74
  6. Step 6: Final answer
    x = 1,413.86

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