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Finding the Fourth Proportional to 1,772.07, 2,657.61 and 731.76

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Solution

The fourth proportional to 1,772.07, 2,657.61 and 731.76 is: 1,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.07 : 2,657.61 = 731.76 : x
  2. Step 2: Convert to fraction form
    1,772.07/2,657.61 = 731.76/x
  3. Step 3: Cross multiply
    1,772.07x = 2,657.61 × 731.76
  4. Step 4: Simplify right side
    1,772.07x = 1,944,732.69
  5. Step 5: Solve for x
    x = 1,944,732.69/1,772.07
  6. Step 6: Final answer
    x = 1,097.44

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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.