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Finding the Fourth Proportional to 2,393.00, 3,589.68 and 749.53

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Solution

The fourth proportional to 2,393.00, 3,589.68 and 749.53 is: 1,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.00 : 3,589.68 = 749.53 : x
  2. Step 2: Convert to fraction form
    2,393.00/3,589.68 = 749.53/x
  3. Step 3: Cross multiply
    2,393.00x = 3,589.68 × 749.53
  4. Step 4: Simplify right side
    2,393.00x = 2,690,580.15
  5. Step 5: Solve for x
    x = 2,690,580.15/2,393.00
  6. Step 6: Final answer
    x = 1,124.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.