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Finding the Fourth Proportional to 2,015.71, 2,781.72 and 1,131.50

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Solution

The fourth proportional to 2,015.71, 2,781.72 and 1,131.50 is: 1,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.71 : 2,781.72 = 1,131.50 : x
  2. Step 2: Convert to fraction form
    2,015.71/2,781.72 = 1,131.50/x
  3. Step 3: Cross multiply
    2,015.71x = 2,781.72 × 1,131.50
  4. Step 4: Simplify right side
    2,015.71x = 3,147,523.13
  5. Step 5: Solve for x
    x = 3,147,523.13/2,015.71
  6. Step 6: Final answer
    x = 1,561.50

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