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Finding the Fourth Proportional to 2,475.29, 3,713.49 and 831.79

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Solution

The fourth proportional to 2,475.29, 3,713.49 and 831.79 is: 1,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.29 : 3,713.49 = 831.79 : x
  2. Step 2: Convert to fraction form
    2,475.29/3,713.49 = 831.79/x
  3. Step 3: Cross multiply
    2,475.29x = 3,713.49 × 831.79
  4. Step 4: Simplify right side
    2,475.29x = 3,088,843.85
  5. Step 5: Solve for x
    x = 3,088,843.85/2,475.29
  6. Step 6: Final answer
    x = 1,247.87

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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.