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Finding the Fourth Proportional to 2,294.40, 3,166.44 and 1,299.68

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Solution

The fourth proportional to 2,294.40, 3,166.44 and 1,299.68 is: 1,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.40 : 3,166.44 = 1,299.68 : x
  2. Step 2: Convert to fraction form
    2,294.40/3,166.44 = 1,299.68/x
  3. Step 3: Cross multiply
    2,294.40x = 3,166.44 × 1,299.68
  4. Step 4: Simplify right side
    2,294.40x = 4,115,358.74
  5. Step 5: Solve for x
    x = 4,115,358.74/2,294.40
  6. Step 6: Final answer
    x = 1,793.65

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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.