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Finding the Fourth Proportional to 4,155.74, 6,230.82 and 1,655.27

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Solution

The fourth proportional to 4,155.74, 6,230.82 and 1,655.27 is: 2,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.74 : 6,230.82 = 1,655.27 : x
  2. Step 2: Convert to fraction form
    4,155.74/6,230.82 = 1,655.27/x
  3. Step 3: Cross multiply
    4,155.74x = 6,230.82 × 1,655.27
  4. Step 4: Simplify right side
    4,155.74x = 10,313,689.42
  5. Step 5: Solve for x
    x = 10,313,689.42/4,155.74
  6. Step 6: Final answer
    x = 2,481.79

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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.