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Finding the Fourth Proportional to 2,474.39, 3,714.14 and 1,658.36

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Solution

The fourth proportional to 2,474.39, 3,714.14 and 1,658.36 is: 2,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.39 : 3,714.14 = 1,658.36 : x
  2. Step 2: Convert to fraction form
    2,474.39/3,714.14 = 1,658.36/x
  3. Step 3: Cross multiply
    2,474.39x = 3,714.14 × 1,658.36
  4. Step 4: Simplify right side
    2,474.39x = 6,159,380.71
  5. Step 5: Solve for x
    x = 6,159,380.71/2,474.39
  6. Step 6: Final answer
    x = 2,489.25

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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.