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Finding the Fourth Proportional to 2,015.72, 2,781.84 and 1,229.92

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Solution

The fourth proportional to 2,015.72, 2,781.84 and 1,229.92 is: 1,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.72 : 2,781.84 = 1,229.92 : x
  2. Step 2: Convert to fraction form
    2,015.72/2,781.84 = 1,229.92/x
  3. Step 3: Cross multiply
    2,015.72x = 2,781.84 × 1,229.92
  4. Step 4: Simplify right side
    2,015.72x = 3,421,438.31
  5. Step 5: Solve for x
    x = 3,421,438.31/2,015.72
  6. Step 6: Final answer
    x = 1,697.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.