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Finding the Fourth Proportional to 2,393.10, 3,589.62 and 749.46

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Solution

The fourth proportional to 2,393.10, 3,589.62 and 749.46 is: 1,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.10 : 3,589.62 = 749.46 : x
  2. Step 2: Convert to fraction form
    2,393.10/3,589.62 = 749.46/x
  3. Step 3: Cross multiply
    2,393.10x = 3,589.62 × 749.46
  4. Step 4: Simplify right side
    2,393.10x = 2,690,276.61
  5. Step 5: Solve for x
    x = 2,690,276.61/2,393.10
  6. Step 6: Final answer
    x = 1,124.18

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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.