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Finding the Fourth Proportional to 2,325.24, 3,489.48 and 1,353.24

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Solution

The fourth proportional to 2,325.24, 3,489.48 and 1,353.24 is: 2,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.24 : 3,489.48 = 1,353.24 : x
  2. Step 2: Convert to fraction form
    2,325.24/3,489.48 = 1,353.24/x
  3. Step 3: Cross multiply
    2,325.24x = 3,489.48 × 1,353.24
  4. Step 4: Simplify right side
    2,325.24x = 4,722,103.92
  5. Step 5: Solve for x
    x = 4,722,103.92/2,325.24
  6. Step 6: Final answer
    x = 2,030.80

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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.