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Finding the Fourth Proportional to 1,422.48, 2,131.56 and 681.24

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Solution

The fourth proportional to 1,422.48, 2,131.56 and 681.24 is: 1,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.48 : 2,131.56 = 681.24 : x
  2. Step 2: Convert to fraction form
    1,422.48/2,131.56 = 681.24/x
  3. Step 3: Cross multiply
    1,422.48x = 2,131.56 × 681.24
  4. Step 4: Simplify right side
    1,422.48x = 1,452,103.93
  5. Step 5: Solve for x
    x = 1,452,103.93/1,422.48
  6. Step 6: Final answer
    x = 1,020.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.