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Finding the Fourth Proportional to 2,093.84, 3,141.60 and 861.86

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Solution

The fourth proportional to 2,093.84, 3,141.60 and 861.86 is: 1,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.84 : 3,141.60 = 861.86 : x
  2. Step 2: Convert to fraction form
    2,093.84/3,141.60 = 861.86/x
  3. Step 3: Cross multiply
    2,093.84x = 3,141.60 × 861.86
  4. Step 4: Simplify right side
    2,093.84x = 2,707,619.38
  5. Step 5: Solve for x
    x = 2,707,619.38/2,093.84
  6. Step 6: Final answer
    x = 1,293.14

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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.