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Finding the Fourth Proportional to 2,576.88, 3,881.52 and 2,542.86

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Solution

The fourth proportional to 2,576.88, 3,881.52 and 2,542.86 is: 3,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.88 : 3,881.52 = 2,542.86 : x
  2. Step 2: Convert to fraction form
    2,576.88/3,881.52 = 2,542.86/x
  3. Step 3: Cross multiply
    2,576.88x = 3,881.52 × 2,542.86
  4. Step 4: Simplify right side
    2,576.88x = 9,870,161.95
  5. Step 5: Solve for x
    x = 9,870,161.95/2,576.88
  6. Step 6: Final answer
    x = 3,830.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.