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Finding the Fourth Proportional to 2,294.11, 3,165.86 and 1,246.17

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Solution

The fourth proportional to 2,294.11, 3,165.86 and 1,246.17 is: 1,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.11 : 3,165.86 = 1,246.17 : x
  2. Step 2: Convert to fraction form
    2,294.11/3,165.86 = 1,246.17/x
  3. Step 3: Cross multiply
    2,294.11x = 3,165.86 × 1,246.17
  4. Step 4: Simplify right side
    2,294.11x = 3,945,206.79
  5. Step 5: Solve for x
    x = 3,945,206.79/2,294.11
  6. Step 6: Final answer
    x = 1,719.71

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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.