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Finding the Fourth Proportional to 1,772.75, 2,658.13 and 732.44

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Solution

The fourth proportional to 1,772.75, 2,658.13 and 732.44 is: 1,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.75 : 2,658.13 = 732.44 : x
  2. Step 2: Convert to fraction form
    1,772.75/2,658.13 = 732.44/x
  3. Step 3: Cross multiply
    1,772.75x = 2,658.13 × 732.44
  4. Step 4: Simplify right side
    1,772.75x = 1,946,920.74
  5. Step 5: Solve for x
    x = 1,946,920.74/1,772.75
  6. Step 6: Final answer
    x = 1,098.25

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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.