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Finding the Fourth Proportional to 2,325.20, 3,487.47 and 864.05

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Solution

The fourth proportional to 2,325.20, 3,487.47 and 864.05 is: 1,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.20 : 3,487.47 = 864.05 : x
  2. Step 2: Convert to fraction form
    2,325.20/3,487.47 = 864.05/x
  3. Step 3: Cross multiply
    2,325.20x = 3,487.47 × 864.05
  4. Step 4: Simplify right side
    2,325.20x = 3,013,331.02
  5. Step 5: Solve for x
    x = 3,013,331.02/2,325.20
  6. Step 6: Final answer
    x = 1,295.95

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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.