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Finding the Fourth Proportional to 2,015.57, 2,781.69 and 1,131.32

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Solution

The fourth proportional to 2,015.57, 2,781.69 and 1,131.32 is: 1,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.57 : 2,781.69 = 1,131.32 : x
  2. Step 2: Convert to fraction form
    2,015.57/2,781.69 = 1,131.32/x
  3. Step 3: Cross multiply
    2,015.57x = 2,781.69 × 1,131.32
  4. Step 4: Simplify right side
    2,015.57x = 3,146,981.53
  5. Step 5: Solve for x
    x = 3,146,981.53/2,015.57
  6. Step 6: Final answer
    x = 1,561.34

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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.