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Finding the Fourth Proportional to 2,094.56, 3,139.05 and 861.23

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Solution

The fourth proportional to 2,094.56, 3,139.05 and 861.23 is: 1,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.56 : 3,139.05 = 861.23 : x
  2. Step 2: Convert to fraction form
    2,094.56/3,139.05 = 861.23/x
  3. Step 3: Cross multiply
    2,094.56x = 3,139.05 × 861.23
  4. Step 4: Simplify right side
    2,094.56x = 2,703,455.11
  5. Step 5: Solve for x
    x = 2,703,455.11/2,094.56
  6. Step 6: Final answer
    x = 1,290.70

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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.