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Finding the Fourth Proportional to 2,294.13, 3,165.96 and 1,246.26

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Solution

The fourth proportional to 2,294.13, 3,165.96 and 1,246.26 is: 1,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.13 : 3,165.96 = 1,246.26 : x
  2. Step 2: Convert to fraction form
    2,294.13/3,165.96 = 1,246.26/x
  3. Step 3: Cross multiply
    2,294.13x = 3,165.96 × 1,246.26
  4. Step 4: Simplify right side
    2,294.13x = 3,945,609.31
  5. Step 5: Solve for x
    x = 3,945,609.31/2,294.13
  6. Step 6: Final answer
    x = 1,719.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.