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Finding the Fourth Proportional to 3,086.31, 4,257.15 and 2,024.15

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Solution

The fourth proportional to 3,086.31, 4,257.15 and 2,024.15 is: 2,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.31 : 4,257.15 = 2,024.15 : x
  2. Step 2: Convert to fraction form
    3,086.31/4,257.15 = 2,024.15/x
  3. Step 3: Cross multiply
    3,086.31x = 4,257.15 × 2,024.15
  4. Step 4: Simplify right side
    3,086.31x = 8,617,081.30
  5. Step 5: Solve for x
    x = 8,617,081.30/3,086.31
  6. Step 6: Final answer
    x = 2,792.03

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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.