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Finding the Fourth Proportional to 2,987.97, 4,489.28 and 2,822.19

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Solution

The fourth proportional to 2,987.97, 4,489.28 and 2,822.19 is: 4,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.97 : 4,489.28 = 2,822.19 : x
  2. Step 2: Convert to fraction form
    2,987.97/4,489.28 = 2,822.19/x
  3. Step 3: Cross multiply
    2,987.97x = 4,489.28 × 2,822.19
  4. Step 4: Simplify right side
    2,987.97x = 12,669,601.12
  5. Step 5: Solve for x
    x = 12,669,601.12/2,987.97
  6. Step 6: Final answer
    x = 4,240.20

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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.