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Finding the Fourth Proportional to 2,475.25, 3,712.79 and 831.76

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Solution

The fourth proportional to 2,475.25, 3,712.79 and 831.76 is: 1,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.25 : 3,712.79 = 831.76 : x
  2. Step 2: Convert to fraction form
    2,475.25/3,712.79 = 831.76/x
  3. Step 3: Cross multiply
    2,475.25x = 3,712.79 × 831.76
  4. Step 4: Simplify right side
    2,475.25x = 3,088,143.01
  5. Step 5: Solve for x
    x = 3,088,143.01/2,475.25
  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.