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Finding the Fourth Proportional to 2,715.52, 4,072.77 and 767.71

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Solution

The fourth proportional to 2,715.52, 4,072.77 and 767.71 is: 1,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.52 : 4,072.77 = 767.71 : x
  2. Step 2: Convert to fraction form
    2,715.52/4,072.77 = 767.71/x
  3. Step 3: Cross multiply
    2,715.52x = 4,072.77 × 767.71
  4. Step 4: Simplify right side
    2,715.52x = 3,126,706.26
  5. Step 5: Solve for x
    x = 3,126,706.26/2,715.52
  6. Step 6: Final answer
    x = 1,151.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.