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Finding the Fourth Proportional to 1,987.10, 2,742.22 and 1,102.92

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Solution

The fourth proportional to 1,987.10, 2,742.22 and 1,102.92 is: 1,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.10 : 2,742.22 = 1,102.92 : x
  2. Step 2: Convert to fraction form
    1,987.10/2,742.22 = 1,102.92/x
  3. Step 3: Cross multiply
    1,987.10x = 2,742.22 × 1,102.92
  4. Step 4: Simplify right side
    1,987.10x = 3,024,449.28
  5. Step 5: Solve for x
    x = 3,024,449.28/1,987.10
  6. Step 6: Final answer
    x = 1,522.04

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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.