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Finding the Fourth Proportional to 2,047.86, 3,086.78 and 1,872.57

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Solution

The fourth proportional to 2,047.86, 3,086.78 and 1,872.57 is: 2,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.86 : 3,086.78 = 1,872.57 : x
  2. Step 2: Convert to fraction form
    2,047.86/3,086.78 = 1,872.57/x
  3. Step 3: Cross multiply
    2,047.86x = 3,086.78 × 1,872.57
  4. Step 4: Simplify right side
    2,047.86x = 5,780,202.26
  5. Step 5: Solve for x
    x = 5,780,202.26/2,047.86
  6. Step 6: Final answer
    x = 2,822.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.