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Finding the Fourth Proportional to 2,593.28, 3,883.44 and 1,552.16

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Solution

The fourth proportional to 2,593.28, 3,883.44 and 1,552.16 is: 2,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.28 : 3,883.44 = 1,552.16 : x
  2. Step 2: Convert to fraction form
    2,593.28/3,883.44 = 1,552.16/x
  3. Step 3: Cross multiply
    2,593.28x = 3,883.44 × 1,552.16
  4. Step 4: Simplify right side
    2,593.28x = 6,027,720.23
  5. Step 5: Solve for x
    x = 6,027,720.23/2,593.28
  6. Step 6: Final answer
    x = 2,324.36

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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.