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Finding the Fourth Proportional to 2,422.68, 3,633.60 and 691.44

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Solution

The fourth proportional to 2,422.68, 3,633.60 and 691.44 is: 1,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.68 : 3,633.60 = 691.44 : x
  2. Step 2: Convert to fraction form
    2,422.68/3,633.60 = 691.44/x
  3. Step 3: Cross multiply
    2,422.68x = 3,633.60 × 691.44
  4. Step 4: Simplify right side
    2,422.68x = 2,512,416.38
  5. Step 5: Solve for x
    x = 2,512,416.38/2,422.68
  6. Step 6: Final answer
    x = 1,037.04

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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.