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Finding the Fourth Proportional to 1,987.69, 2,743.02 and 1,103.53

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Solution

The fourth proportional to 1,987.69, 2,743.02 and 1,103.53 is: 1,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.69 : 2,743.02 = 1,103.53 : x
  2. Step 2: Convert to fraction form
    1,987.69/2,743.02 = 1,103.53/x
  3. Step 3: Cross multiply
    1,987.69x = 2,743.02 × 1,103.53
  4. Step 4: Simplify right side
    1,987.69x = 3,027,004.86
  5. Step 5: Solve for x
    x = 3,027,004.86/1,987.69
  6. Step 6: Final answer
    x = 1,522.88

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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.