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Finding the Fourth Proportional to 2,614.44, 3,921.68 and 883.04

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Solution

The fourth proportional to 2,614.44, 3,921.68 and 883.04 is: 1,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.44 : 3,921.68 = 883.04 : x
  2. Step 2: Convert to fraction form
    2,614.44/3,921.68 = 883.04/x
  3. Step 3: Cross multiply
    2,614.44x = 3,921.68 × 883.04
  4. Step 4: Simplify right side
    2,614.44x = 3,463,000.31
  5. Step 5: Solve for x
    x = 3,463,000.31/2,614.44
  6. Step 6: Final answer
    x = 1,324.57

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Why These Related Problems?

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