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Finding the Fourth Proportional to 2,462.88, 3,694.35 and 731.58

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Solution

The fourth proportional to 2,462.88, 3,694.35 and 731.58 is: 1,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.88 : 3,694.35 = 731.58 : x
  2. Step 2: Convert to fraction form
    2,462.88/3,694.35 = 731.58/x
  3. Step 3: Cross multiply
    2,462.88x = 3,694.35 × 731.58
  4. Step 4: Simplify right side
    2,462.88x = 2,702,712.57
  5. Step 5: Solve for x
    x = 2,702,712.57/2,462.88
  6. Step 6: Final answer
    x = 1,097.38

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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.