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Finding the Fourth Proportional to 3,073.20, 4,609.86 and 1,615.20

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Solution

The fourth proportional to 3,073.20, 4,609.86 and 1,615.20 is: 2,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.20 : 4,609.86 = 1,615.20 : x
  2. Step 2: Convert to fraction form
    3,073.20/4,609.86 = 1,615.20/x
  3. Step 3: Cross multiply
    3,073.20x = 4,609.86 × 1,615.20
  4. Step 4: Simplify right side
    3,073.20x = 7,445,845.87
  5. Step 5: Solve for x
    x = 7,445,845.87/3,073.20
  6. Step 6: Final answer
    x = 2,422.83

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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.