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Finding the Fourth Proportional to 2,015.58, 2,781.46 and 1,131.46

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Solution

The fourth proportional to 2,015.58, 2,781.46 and 1,131.46 is: 1,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.58 : 2,781.46 = 1,131.46 : x
  2. Step 2: Convert to fraction form
    2,015.58/2,781.46 = 1,131.46/x
  3. Step 3: Cross multiply
    2,015.58x = 2,781.46 × 1,131.46
  4. Step 4: Simplify right side
    2,015.58x = 3,147,110.73
  5. Step 5: Solve for x
    x = 3,147,110.73/2,015.58
  6. Step 6: Final answer
    x = 1,561.39

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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.