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Finding the Fourth Proportional to 2,987.64, 4,122.42 and 2,044.20

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Solution

The fourth proportional to 2,987.64, 4,122.42 and 2,044.20 is: 2,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.64 : 4,122.42 = 2,044.20 : x
  2. Step 2: Convert to fraction form
    2,987.64/4,122.42 = 2,044.20/x
  3. Step 3: Cross multiply
    2,987.64x = 4,122.42 × 2,044.20
  4. Step 4: Simplify right side
    2,987.64x = 8,427,050.96
  5. Step 5: Solve for x
    x = 8,427,050.96/2,987.64
  6. Step 6: Final answer
    x = 2,820.64

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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.