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Finding the Fourth Proportional to 2,715.38, 4,072.46 and 767.13

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Solution

The fourth proportional to 2,715.38, 4,072.46 and 767.13 is: 1,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.38 : 4,072.46 = 767.13 : x
  2. Step 2: Convert to fraction form
    2,715.38/4,072.46 = 767.13/x
  3. Step 3: Cross multiply
    2,715.38x = 4,072.46 × 767.13
  4. Step 4: Simplify right side
    2,715.38x = 3,124,106.24
  5. Step 5: Solve for x
    x = 3,124,106.24/2,715.38
  6. Step 6: Final answer
    x = 1,150.52

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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.