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Finding the Fourth Proportional to 2,474.01, 3,711.56 and 742.77

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Solution

The fourth proportional to 2,474.01, 3,711.56 and 742.77 is: 1,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.01 : 3,711.56 = 742.77 : x
  2. Step 2: Convert to fraction form
    2,474.01/3,711.56 = 742.77/x
  3. Step 3: Cross multiply
    2,474.01x = 3,711.56 × 742.77
  4. Step 4: Simplify right side
    2,474.01x = 2,756,831.71
  5. Step 5: Solve for x
    x = 2,756,831.71/2,474.01
  6. Step 6: Final answer
    x = 1,114.32

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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.