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Finding the Fourth Proportional to 2,094.18, 3,138.97 and 861.25

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Solution

The fourth proportional to 2,094.18, 3,138.97 and 861.25 is: 1,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.18 : 3,138.97 = 861.25 : x
  2. Step 2: Convert to fraction form
    2,094.18/3,138.97 = 861.25/x
  3. Step 3: Cross multiply
    2,094.18x = 3,138.97 × 861.25
  4. Step 4: Simplify right side
    2,094.18x = 2,703,437.91
  5. Step 5: Solve for x
    x = 2,703,437.91/2,094.18
  6. Step 6: Final answer
    x = 1,290.93

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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.