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Finding the Fourth Proportional to 2,243.52, 3,363.24 and 1,203.04

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Solution

The fourth proportional to 2,243.52, 3,363.24 and 1,203.04 is: 1,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.52 : 3,363.24 = 1,203.04 : x
  2. Step 2: Convert to fraction form
    2,243.52/3,363.24 = 1,203.04/x
  3. Step 3: Cross multiply
    2,243.52x = 3,363.24 × 1,203.04
  4. Step 4: Simplify right side
    2,243.52x = 4,046,112.25
  5. Step 5: Solve for x
    x = 4,046,112.25/2,243.52
  6. Step 6: Final answer
    x = 1,803.47

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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.