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Finding the Fourth Proportional to 2,962.22, 4,442.96 and 2,304.74

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Solution

The fourth proportional to 2,962.22, 4,442.96 and 2,304.74 is: 3,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.22 : 4,442.96 = 2,304.74 : x
  2. Step 2: Convert to fraction form
    2,962.22/4,442.96 = 2,304.74/x
  3. Step 3: Cross multiply
    2,962.22x = 4,442.96 × 2,304.74
  4. Step 4: Simplify right side
    2,962.22x = 10,239,884.50
  5. Step 5: Solve for x
    x = 10,239,884.50/2,962.22
  6. Step 6: Final answer
    x = 3,456.83

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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.