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Finding the Fourth Proportional to 2,393.78, 3,589.43 and 749.88

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Solution

The fourth proportional to 2,393.78, 3,589.43 and 749.88 is: 1,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.78 : 3,589.43 = 749.88 : x
  2. Step 2: Convert to fraction form
    2,393.78/3,589.43 = 749.88/x
  3. Step 3: Cross multiply
    2,393.78x = 3,589.43 × 749.88
  4. Step 4: Simplify right side
    2,393.78x = 2,691,638.02
  5. Step 5: Solve for x
    x = 2,691,638.02/2,393.78
  6. Step 6: Final answer
    x = 1,124.43

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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.