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Finding the Fourth Proportional to 2,399.24, 3,599.01 and 755.85

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Solution

The fourth proportional to 2,399.24, 3,599.01 and 755.85 is: 1,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.24 : 3,599.01 = 755.85 : x
  2. Step 2: Convert to fraction form
    2,399.24/3,599.01 = 755.85/x
  3. Step 3: Cross multiply
    2,399.24x = 3,599.01 × 755.85
  4. Step 4: Simplify right side
    2,399.24x = 2,720,311.71
  5. Step 5: Solve for x
    x = 2,720,311.71/2,399.24
  6. Step 6: Final answer
    x = 1,133.82

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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.