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Finding the Fourth Proportional to 2,767.47, 4,149.66 and 917.57

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Solution

The fourth proportional to 2,767.47, 4,149.66 and 917.57 is: 1,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.47 : 4,149.66 = 917.57 : x
  2. Step 2: Convert to fraction form
    2,767.47/4,149.66 = 917.57/x
  3. Step 3: Cross multiply
    2,767.47x = 4,149.66 × 917.57
  4. Step 4: Simplify right side
    2,767.47x = 3,807,612.49
  5. Step 5: Solve for x
    x = 3,807,612.49/2,767.47
  6. Step 6: Final answer
    x = 1,375.85

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