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Finding the Fourth Proportional to 3,013.91, 4,157.36 and 1,991.86

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Solution

The fourth proportional to 3,013.91, 4,157.36 and 1,991.86 is: 2,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.91 : 4,157.36 = 1,991.86 : x
  2. Step 2: Convert to fraction form
    3,013.91/4,157.36 = 1,991.86/x
  3. Step 3: Cross multiply
    3,013.91x = 4,157.36 × 1,991.86
  4. Step 4: Simplify right side
    3,013.91x = 8,280,881.80
  5. Step 5: Solve for x
    x = 8,280,881.80/3,013.91
  6. Step 6: Final answer
    x = 2,747.55

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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.