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Finding the Fourth Proportional to 3,342.61, 4,608.39 and 2,742.90

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Solution

The fourth proportional to 3,342.61, 4,608.39 and 2,742.90 is: 3,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.61 : 4,608.39 = 2,742.90 : x
  2. Step 2: Convert to fraction form
    3,342.61/4,608.39 = 2,742.90/x
  3. Step 3: Cross multiply
    3,342.61x = 4,608.39 × 2,742.90
  4. Step 4: Simplify right side
    3,342.61x = 12,640,352.93
  5. Step 5: Solve for x
    x = 12,640,352.93/3,342.61
  6. Step 6: Final answer
    x = 3,781.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.