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Finding the Fourth Proportional to 2,474.44, 3,711.60 and 831.12

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Solution

The fourth proportional to 2,474.44, 3,711.60 and 831.12 is: 1,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.44 : 3,711.60 = 831.12 : x
  2. Step 2: Convert to fraction form
    2,474.44/3,711.60 = 831.12/x
  3. Step 3: Cross multiply
    2,474.44x = 3,711.60 × 831.12
  4. Step 4: Simplify right side
    2,474.44x = 3,084,784.99
  5. Step 5: Solve for x
    x = 3,084,784.99/2,474.44
  6. Step 6: Final answer
    x = 1,246.66

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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.