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Finding the Fourth Proportional to 2,715.93, 4,073.04 and 767.61

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Solution

The fourth proportional to 2,715.93, 4,073.04 and 767.61 is: 1,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.93 : 4,073.04 = 767.61 : x
  2. Step 2: Convert to fraction form
    2,715.93/4,073.04 = 767.61/x
  3. Step 3: Cross multiply
    2,715.93x = 4,073.04 × 767.61
  4. Step 4: Simplify right side
    2,715.93x = 3,126,506.23
  5. Step 5: Solve for x
    x = 3,126,506.23/2,715.93
  6. Step 6: Final answer
    x = 1,151.17

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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.