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Finding the Fourth Proportional to 2,015.83, 2,781.79 and 1,131.61

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Solution

The fourth proportional to 2,015.83, 2,781.79 and 1,131.61 is: 1,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.83 : 2,781.79 = 1,131.61 : x
  2. Step 2: Convert to fraction form
    2,015.83/2,781.79 = 1,131.61/x
  3. Step 3: Cross multiply
    2,015.83x = 2,781.79 × 1,131.61
  4. Step 4: Simplify right side
    2,015.83x = 3,147,901.38
  5. Step 5: Solve for x
    x = 3,147,901.38/2,015.83
  6. Step 6: Final answer
    x = 1,561.59

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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.