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Finding the Fourth Proportional to 2,575.97, 3,552.16 and 2,204.18

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Solution

The fourth proportional to 2,575.97, 3,552.16 and 2,204.18 is: 3,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.97 : 3,552.16 = 2,204.18 : x
  2. Step 2: Convert to fraction form
    2,575.97/3,552.16 = 2,204.18/x
  3. Step 3: Cross multiply
    2,575.97x = 3,552.16 × 2,204.18
  4. Step 4: Simplify right side
    2,575.97x = 7,829,571.25
  5. Step 5: Solve for x
    x = 7,829,571.25/2,575.97
  6. Step 6: Final answer
    x = 3,039.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.