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Finding the Fourth Proportional to 2,715.44, 4,073.86 and 767.66

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Solution

The fourth proportional to 2,715.44, 4,073.86 and 767.66 is: 1,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.44 : 4,073.86 = 767.66 : x
  2. Step 2: Convert to fraction form
    2,715.44/4,073.86 = 767.66/x
  3. Step 3: Cross multiply
    2,715.44x = 4,073.86 × 767.66
  4. Step 4: Simplify right side
    2,715.44x = 3,127,339.37
  5. Step 5: Solve for x
    x = 3,127,339.37/2,715.44
  6. Step 6: Final answer
    x = 1,151.69

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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.