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Finding the Fourth Proportional to 2,299.14, 3,449.34 and 912.66

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Solution

The fourth proportional to 2,299.14, 3,449.34 and 912.66 is: 1,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.14 : 3,449.34 = 912.66 : x
  2. Step 2: Convert to fraction form
    2,299.14/3,449.34 = 912.66/x
  3. Step 3: Cross multiply
    2,299.14x = 3,449.34 × 912.66
  4. Step 4: Simplify right side
    2,299.14x = 3,148,074.64
  5. Step 5: Solve for x
    x = 3,148,074.64/2,299.14
  6. Step 6: Final answer
    x = 1,369.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.