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Finding the Fourth Proportional to 2,159.40, 3,241.50 and 861.78

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Solution

The fourth proportional to 2,159.40, 3,241.50 and 861.78 is: 1,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.40 : 3,241.50 = 861.78 : x
  2. Step 2: Convert to fraction form
    2,159.40/3,241.50 = 861.78/x
  3. Step 3: Cross multiply
    2,159.40x = 3,241.50 × 861.78
  4. Step 4: Simplify right side
    2,159.40x = 2,793,459.87
  5. Step 5: Solve for x
    x = 2,793,459.87/2,159.40
  6. Step 6: Final answer
    x = 1,293.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.