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Finding the Fourth Proportional to 3,077.16, 4,614.89 and 855.47

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Solution

The fourth proportional to 3,077.16, 4,614.89 and 855.47 is: 1,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.16 : 4,614.89 = 855.47 : x
  2. Step 2: Convert to fraction form
    3,077.16/4,614.89 = 855.47/x
  3. Step 3: Cross multiply
    3,077.16x = 4,614.89 × 855.47
  4. Step 4: Simplify right side
    3,077.16x = 3,947,872.60
  5. Step 5: Solve for x
    x = 3,947,872.60/3,077.16
  6. Step 6: Final answer
    x = 1,282.96

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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.