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Finding the Fourth Proportional to 3,077.92, 4,614.36 and 1,780.48

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Solution

The fourth proportional to 3,077.92, 4,614.36 and 1,780.48 is: 2,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.92 : 4,614.36 = 1,780.48 : x
  2. Step 2: Convert to fraction form
    3,077.92/4,614.36 = 1,780.48/x
  3. Step 3: Cross multiply
    3,077.92x = 4,614.36 × 1,780.48
  4. Step 4: Simplify right side
    3,077.92x = 8,215,775.69
  5. Step 5: Solve for x
    x = 8,215,775.69/3,077.92
  6. Step 6: Final answer
    x = 2,669.26

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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.