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Finding the Fourth Proportional to 2,614.88, 3,923.38 and 1,381.96

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Solution

The fourth proportional to 2,614.88, 3,923.38 and 1,381.96 is: 2,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.88 : 3,923.38 = 1,381.96 : x
  2. Step 2: Convert to fraction form
    2,614.88/3,923.38 = 1,381.96/x
  3. Step 3: Cross multiply
    2,614.88x = 3,923.38 × 1,381.96
  4. Step 4: Simplify right side
    2,614.88x = 5,421,934.61
  5. Step 5: Solve for x
    x = 5,421,934.61/2,614.88
  6. Step 6: Final answer
    x = 2,073.50

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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.