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Finding the Fourth Proportional to 1,987.74, 2,743.44 and 1,148.31

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Solution

The fourth proportional to 1,987.74, 2,743.44 and 1,148.31 is: 1,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.74 : 2,743.44 = 1,148.31 : x
  2. Step 2: Convert to fraction form
    1,987.74/2,743.44 = 1,148.31/x
  3. Step 3: Cross multiply
    1,987.74x = 2,743.44 × 1,148.31
  4. Step 4: Simplify right side
    1,987.74x = 3,150,319.59
  5. Step 5: Solve for x
    x = 3,150,319.59/1,987.74
  6. Step 6: Final answer
    x = 1,584.88

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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.