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Finding the Fourth Proportional to 2,290.92, 3,432.56 and 2,205.60

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Solution

The fourth proportional to 2,290.92, 3,432.56 and 2,205.60 is: 3,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.92 : 3,432.56 = 2,205.60 : x
  2. Step 2: Convert to fraction form
    2,290.92/3,432.56 = 2,205.60/x
  3. Step 3: Cross multiply
    2,290.92x = 3,432.56 × 2,205.60
  4. Step 4: Simplify right side
    2,290.92x = 7,570,830.44
  5. Step 5: Solve for x
    x = 7,570,830.44/2,290.92
  6. Step 6: Final answer
    x = 3,304.72

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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.