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Finding the Fourth Proportional to 2,474.88, 3,712.31 and 935.88

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Solution

The fourth proportional to 2,474.88, 3,712.31 and 935.88 is: 1,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.88 : 3,712.31 = 935.88 : x
  2. Step 2: Convert to fraction form
    2,474.88/3,712.31 = 935.88/x
  3. Step 3: Cross multiply
    2,474.88x = 3,712.31 × 935.88
  4. Step 4: Simplify right side
    2,474.88x = 3,474,276.68
  5. Step 5: Solve for x
    x = 3,474,276.68/2,474.88
  6. Step 6: Final answer
    x = 1,403.82

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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.