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Finding the Fourth Proportional to 2,475.16, 3,713.29 and 831.62

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Solution

The fourth proportional to 2,475.16, 3,713.29 and 831.62 is: 1,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.16 : 3,713.29 = 831.62 : x
  2. Step 2: Convert to fraction form
    2,475.16/3,713.29 = 831.62/x
  3. Step 3: Cross multiply
    2,475.16x = 3,713.29 × 831.62
  4. Step 4: Simplify right side
    2,475.16x = 3,088,037.22
  5. Step 5: Solve for x
    x = 3,088,037.22/2,475.16
  6. Step 6: Final answer
    x = 1,247.61

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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.