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Finding the Fourth Proportional to 2,016.24, 2,782.24 and 1,131.90

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Solution

The fourth proportional to 2,016.24, 2,782.24 and 1,131.90 is: 1,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.24 : 2,782.24 = 1,131.90 : x
  2. Step 2: Convert to fraction form
    2,016.24/2,782.24 = 1,131.90/x
  3. Step 3: Cross multiply
    2,016.24x = 2,782.24 × 1,131.90
  4. Step 4: Simplify right side
    2,016.24x = 3,149,217.46
  5. Step 5: Solve for x
    x = 3,149,217.46/2,016.24
  6. Step 6: Final answer
    x = 1,561.93

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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.