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Finding the Fourth Proportional to 2,474.64, 3,712.84 and 831.18

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Solution

The fourth proportional to 2,474.64, 3,712.84 and 831.18 is: 1,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.64 : 3,712.84 = 831.18 : x
  2. Step 2: Convert to fraction form
    2,474.64/3,712.84 = 831.18/x
  3. Step 3: Cross multiply
    2,474.64x = 3,712.84 × 831.18
  4. Step 4: Simplify right side
    2,474.64x = 3,086,036.27
  5. Step 5: Solve for x
    x = 3,086,036.27/2,474.64
  6. Step 6: Final answer
    x = 1,247.06

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Why These Related Problems?

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