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Finding the Fourth Proportional to 2,066.85, 3,099.87 and 767.61

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Solution

The fourth proportional to 2,066.85, 3,099.87 and 767.61 is: 1,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.85 : 3,099.87 = 767.61 : x
  2. Step 2: Convert to fraction form
    2,066.85/3,099.87 = 767.61/x
  3. Step 3: Cross multiply
    2,066.85x = 3,099.87 × 767.61
  4. Step 4: Simplify right side
    2,066.85x = 2,379,491.21
  5. Step 5: Solve for x
    x = 2,379,491.21/2,066.85
  6. Step 6: Final answer
    x = 1,151.26

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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.