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Finding the Fourth Proportional to 3,077.65, 4,617.27 and 1,432.27

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Solution

The fourth proportional to 3,077.65, 4,617.27 and 1,432.27 is: 2,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.65 : 4,617.27 = 1,432.27 : x
  2. Step 2: Convert to fraction form
    3,077.65/4,617.27 = 1,432.27/x
  3. Step 3: Cross multiply
    3,077.65x = 4,617.27 × 1,432.27
  4. Step 4: Simplify right side
    3,077.65x = 6,613,177.30
  5. Step 5: Solve for x
    x = 6,613,177.30/3,077.65
  6. Step 6: Final answer
    x = 2,148.77

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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.