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Finding the Fourth Proportional to 2,266.47, 3,397.68 and 1,442.43

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Solution

The fourth proportional to 2,266.47, 3,397.68 and 1,442.43 is: 2,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.47 : 3,397.68 = 1,442.43 : x
  2. Step 2: Convert to fraction form
    2,266.47/3,397.68 = 1,442.43/x
  3. Step 3: Cross multiply
    2,266.47x = 3,397.68 × 1,442.43
  4. Step 4: Simplify right side
    2,266.47x = 4,900,915.56
  5. Step 5: Solve for x
    x = 4,900,915.56/2,266.47
  6. Step 6: Final answer
    x = 2,162.36

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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.