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Finding the Fourth Proportional to 2,325.85, 3,488.49 and 864.61

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Solution

The fourth proportional to 2,325.85, 3,488.49 and 864.61 is: 1,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.85 : 3,488.49 = 864.61 : x
  2. Step 2: Convert to fraction form
    2,325.85/3,488.49 = 864.61/x
  3. Step 3: Cross multiply
    2,325.85x = 3,488.49 × 864.61
  4. Step 4: Simplify right side
    2,325.85x = 3,016,183.34
  5. Step 5: Solve for x
    x = 3,016,183.34/2,325.85
  6. Step 6: Final answer
    x = 1,296.81

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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.