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Finding the Fourth Proportional to 2,777.44, 4,167.78 and 1,545.88

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Solution

The fourth proportional to 2,777.44, 4,167.78 and 1,545.88 is: 2,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.44 : 4,167.78 = 1,545.88 : x
  2. Step 2: Convert to fraction form
    2,777.44/4,167.78 = 1,545.88/x
  3. Step 3: Cross multiply
    2,777.44x = 4,167.78 × 1,545.88
  4. Step 4: Simplify right side
    2,777.44x = 6,442,887.75
  5. Step 5: Solve for x
    x = 6,442,887.75/2,777.44
  6. Step 6: Final answer
    x = 2,319.72

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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.