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Finding the Fourth Proportional to 2,608.80, 3,909.66 and 2,442.74

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Solution

The fourth proportional to 2,608.80, 3,909.66 and 2,442.74 is: 3,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.80 : 3,909.66 = 2,442.74 : x
  2. Step 2: Convert to fraction form
    2,608.80/3,909.66 = 2,442.74/x
  3. Step 3: Cross multiply
    2,608.80x = 3,909.66 × 2,442.74
  4. Step 4: Simplify right side
    2,608.80x = 9,550,282.87
  5. Step 5: Solve for x
    x = 9,550,282.87/2,608.80
  6. Step 6: Final answer
    x = 3,660.80

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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.