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Finding the Fourth Proportional to 2,093.56, 3,138.72 and 861.28

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Solution

The fourth proportional to 2,093.56, 3,138.72 and 861.28 is: 1,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.56 : 3,138.72 = 861.28 : x
  2. Step 2: Convert to fraction form
    2,093.56/3,138.72 = 861.28/x
  3. Step 3: Cross multiply
    2,093.56x = 3,138.72 × 861.28
  4. Step 4: Simplify right side
    2,093.56x = 2,703,316.76
  5. Step 5: Solve for x
    x = 2,703,316.76/2,093.56
  6. Step 6: Final answer
    x = 1,291.25

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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.