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Finding the Fourth Proportional to 2,614.29, 3,922.46 and 1,152.42

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Solution

The fourth proportional to 2,614.29, 3,922.46 and 1,152.42 is: 1,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.29 : 3,922.46 = 1,152.42 : x
  2. Step 2: Convert to fraction form
    2,614.29/3,922.46 = 1,152.42/x
  3. Step 3: Cross multiply
    2,614.29x = 3,922.46 × 1,152.42
  4. Step 4: Simplify right side
    2,614.29x = 4,520,324.23
  5. Step 5: Solve for x
    x = 4,520,324.23/2,614.29
  6. Step 6: Final answer
    x = 1,729.08

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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.