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Finding the Fourth Proportional to 2,294.08, 3,165.84 and 1,299.44

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Solution

The fourth proportional to 2,294.08, 3,165.84 and 1,299.44 is: 1,793.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.08 : 3,165.84 = 1,299.44 : x
  2. Step 2: Convert to fraction form
    2,294.08/3,165.84 = 1,299.44/x
  3. Step 3: Cross multiply
    2,294.08x = 3,165.84 × 1,299.44
  4. Step 4: Simplify right side
    2,294.08x = 4,113,819.13
  5. Step 5: Solve for x
    x = 4,113,819.13/2,294.08
  6. Step 6: Final answer
    x = 1,793.23

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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.