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Finding the Fourth Proportional to 2,761.20, 3,810.48 and 1,642.30

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Solution

The fourth proportional to 2,761.20, 3,810.48 and 1,642.30 is: 2,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.20 : 3,810.48 = 1,642.30 : x
  2. Step 2: Convert to fraction form
    2,761.20/3,810.48 = 1,642.30/x
  3. Step 3: Cross multiply
    2,761.20x = 3,810.48 × 1,642.30
  4. Step 4: Simplify right side
    2,761.20x = 6,257,951.30
  5. Step 5: Solve for x
    x = 6,257,951.30/2,761.20
  6. Step 6: Final answer
    x = 2,266.39

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Why These Related Problems?

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