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Finding the Fourth Proportional to 2,767.46, 4,151.75 and 918.47

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Solution

The fourth proportional to 2,767.46, 4,151.75 and 918.47 is: 1,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.46 : 4,151.75 = 918.47 : x
  2. Step 2: Convert to fraction form
    2,767.46/4,151.75 = 918.47/x
  3. Step 3: Cross multiply
    2,767.46x = 4,151.75 × 918.47
  4. Step 4: Simplify right side
    2,767.46x = 3,813,232.47
  5. Step 5: Solve for x
    x = 3,813,232.47/2,767.46
  6. Step 6: Final answer
    x = 1,377.88

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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.