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Finding the Fourth Proportional to 3,102.30, 4,648.05 and 2,616.30

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Solution

The fourth proportional to 3,102.30, 4,648.05 and 2,616.30 is: 3,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.30 : 4,648.05 = 2,616.30 : x
  2. Step 2: Convert to fraction form
    3,102.30/4,648.05 = 2,616.30/x
  3. Step 3: Cross multiply
    3,102.30x = 4,648.05 × 2,616.30
  4. Step 4: Simplify right side
    3,102.30x = 12,160,693.22
  5. Step 5: Solve for x
    x = 12,160,693.22/3,102.30
  6. Step 6: Final answer
    x = 3,919.90

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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.