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Finding the Fourth Proportional to 2,462.77, 3,694.15 and 731.39

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Solution

The fourth proportional to 2,462.77, 3,694.15 and 731.39 is: 1,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.77 : 3,694.15 = 731.39 : x
  2. Step 2: Convert to fraction form
    2,462.77/3,694.15 = 731.39/x
  3. Step 3: Cross multiply
    2,462.77x = 3,694.15 × 731.39
  4. Step 4: Simplify right side
    2,462.77x = 2,701,864.37
  5. Step 5: Solve for x
    x = 2,701,864.37/2,462.77
  6. Step 6: Final answer
    x = 1,097.08

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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.