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Finding the Fourth Proportional to 2,159.56, 3,240.42 and 861.94

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Solution

The fourth proportional to 2,159.56, 3,240.42 and 861.94 is: 1,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.56 : 3,240.42 = 861.94 : x
  2. Step 2: Convert to fraction form
    2,159.56/3,240.42 = 861.94/x
  3. Step 3: Cross multiply
    2,159.56x = 3,240.42 × 861.94
  4. Step 4: Simplify right side
    2,159.56x = 2,793,047.61
  5. Step 5: Solve for x
    x = 2,793,047.61/2,159.56
  6. Step 6: Final answer
    x = 1,293.34

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