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Finding the Fourth Proportional to 2,325.28, 3,487.38 and 865.12

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Solution

The fourth proportional to 2,325.28, 3,487.38 and 865.12 is: 1,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.28 : 3,487.38 = 865.12 : x
  2. Step 2: Convert to fraction form
    2,325.28/3,487.38 = 865.12/x
  3. Step 3: Cross multiply
    2,325.28x = 3,487.38 × 865.12
  4. Step 4: Simplify right side
    2,325.28x = 3,017,002.19
  5. Step 5: Solve for x
    x = 3,017,002.19/2,325.28
  6. Step 6: Final answer
    x = 1,297.48

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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.