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Finding the Fourth Proportional to 2,691.80, 3,715.37 and 2,559.98

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Solution

The fourth proportional to 2,691.80, 3,715.37 and 2,559.98 is: 3,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.80 : 3,715.37 = 2,559.98 : x
  2. Step 2: Convert to fraction form
    2,691.80/3,715.37 = 2,559.98/x
  3. Step 3: Cross multiply
    2,691.80x = 3,715.37 × 2,559.98
  4. Step 4: Simplify right side
    2,691.80x = 9,511,241.52
  5. Step 5: Solve for x
    x = 9,511,241.52/2,691.80
  6. Step 6: Final answer
    x = 3,533.42

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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.