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Finding the Fourth Proportional to 2,147.28, 2,962.80 and 1,262.88

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Solution

The fourth proportional to 2,147.28, 2,962.80 and 1,262.88 is: 1,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.28 : 2,962.80 = 1,262.88 : x
  2. Step 2: Convert to fraction form
    2,147.28/2,962.80 = 1,262.88/x
  3. Step 3: Cross multiply
    2,147.28x = 2,962.80 × 1,262.88
  4. Step 4: Simplify right side
    2,147.28x = 3,741,660.86
  5. Step 5: Solve for x
    x = 3,741,660.86/2,147.28
  6. Step 6: Final answer
    x = 1,742.51

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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.