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Finding the Fourth Proportional to 2,015.86, 2,782 and 1,131.82

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Solution

The fourth proportional to 2,015.86, 2,782 and 1,131.82 is: 1,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.86 : 2,782 = 1,131.82 : x
  2. Step 2: Convert to fraction form
    2,015.86/2,782 = 1,131.82/x
  3. Step 3: Cross multiply
    2,015.86x = 2,782 × 1,131.82
  4. Step 4: Simplify right side
    2,015.86x = 3,148,723.24
  5. Step 5: Solve for x
    x = 3,148,723.24/2,015.86
  6. Step 6: Final answer
    x = 1,561.98

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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.