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Finding the Fourth Proportional to 2,294.68, 3,439.20 and 1,060.42

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Solution

The fourth proportional to 2,294.68, 3,439.20 and 1,060.42 is: 1,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.68 : 3,439.20 = 1,060.42 : x
  2. Step 2: Convert to fraction form
    2,294.68/3,439.20 = 1,060.42/x
  3. Step 3: Cross multiply
    2,294.68x = 3,439.20 × 1,060.42
  4. Step 4: Simplify right side
    2,294.68x = 3,646,996.46
  5. Step 5: Solve for x
    x = 3,646,996.46/2,294.68
  6. Step 6: Final answer
    x = 1,589.33

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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.