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Finding the Fourth Proportional to 2,576.57, 3,553.04 and 2,204.78

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Solution

The fourth proportional to 2,576.57, 3,553.04 and 2,204.78 is: 3,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.57 : 3,553.04 = 2,204.78 : x
  2. Step 2: Convert to fraction form
    2,576.57/3,553.04 = 2,204.78/x
  3. Step 3: Cross multiply
    2,576.57x = 3,553.04 × 2,204.78
  4. Step 4: Simplify right side
    2,576.57x = 7,833,659.28
  5. Step 5: Solve for x
    x = 7,833,659.28/2,576.57
  6. Step 6: Final answer
    x = 3,040.35

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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.