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Finding the Fourth Proportional to 2,343.92, 3,513.06 and 861.95

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Solution

The fourth proportional to 2,343.92, 3,513.06 and 861.95 is: 1,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.92 : 3,513.06 = 861.95 : x
  2. Step 2: Convert to fraction form
    2,343.92/3,513.06 = 861.95/x
  3. Step 3: Cross multiply
    2,343.92x = 3,513.06 × 861.95
  4. Step 4: Simplify right side
    2,343.92x = 3,028,082.07
  5. Step 5: Solve for x
    x = 3,028,082.07/2,343.92
  6. Step 6: Final answer
    x = 1,291.89

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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.