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Finding the Fourth Proportional to 2,015.45, 2,781.17 and 1,131.38

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Solution

The fourth proportional to 2,015.45, 2,781.17 and 1,131.38 is: 1,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.45 : 2,781.17 = 1,131.38 : x
  2. Step 2: Convert to fraction form
    2,015.45/2,781.17 = 1,131.38/x
  3. Step 3: Cross multiply
    2,015.45x = 2,781.17 × 1,131.38
  4. Step 4: Simplify right side
    2,015.45x = 3,146,561.41
  5. Step 5: Solve for x
    x = 3,146,561.41/2,015.45
  6. Step 6: Final answer
    x = 1,561.22

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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.