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Finding the Fourth Proportional to 2,253.52, 3,380.24 and 885.52

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Solution

The fourth proportional to 2,253.52, 3,380.24 and 885.52 is: 1,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.52 : 3,380.24 = 885.52 : x
  2. Step 2: Convert to fraction form
    2,253.52/3,380.24 = 885.52/x
  3. Step 3: Cross multiply
    2,253.52x = 3,380.24 × 885.52
  4. Step 4: Simplify right side
    2,253.52x = 2,993,270.12
  5. Step 5: Solve for x
    x = 2,993,270.12/2,253.52
  6. Step 6: Final answer
    x = 1,328.26

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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.