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Finding the Fourth Proportional to 2,294.14, 3,165.90 and 1,246.21

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Solution

The fourth proportional to 2,294.14, 3,165.90 and 1,246.21 is: 1,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.14 : 3,165.90 = 1,246.21 : x
  2. Step 2: Convert to fraction form
    2,294.14/3,165.90 = 1,246.21/x
  3. Step 3: Cross multiply
    2,294.14x = 3,165.90 × 1,246.21
  4. Step 4: Simplify right side
    2,294.14x = 3,945,376.24
  5. Step 5: Solve for x
    x = 3,945,376.24/2,294.14
  6. Step 6: Final answer
    x = 1,719.76

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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.