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Finding the Fourth Proportional to 3,311.16, 4,963.86 and 1,851

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Solution

The fourth proportional to 3,311.16, 4,963.86 and 1,851 is: 2,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.16 : 4,963.86 = 1,851 : x
  2. Step 2: Convert to fraction form
    3,311.16/4,963.86 = 1,851/x
  3. Step 3: Cross multiply
    3,311.16x = 4,963.86 × 1,851
  4. Step 4: Simplify right side
    3,311.16x = 9,188,104.86
  5. Step 5: Solve for x
    x = 9,188,104.86/3,311.16
  6. Step 6: Final answer
    x = 2,774.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.