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Finding the Fourth Proportional to 2,811.90, 4,217.85 and 1,251.90

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Solution

The fourth proportional to 2,811.90, 4,217.85 and 1,251.90 is: 1,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.90 : 4,217.85 = 1,251.90 : x
  2. Step 2: Convert to fraction form
    2,811.90/4,217.85 = 1,251.90/x
  3. Step 3: Cross multiply
    2,811.90x = 4,217.85 × 1,251.90
  4. Step 4: Simplify right side
    2,811.90x = 5,280,326.42
  5. Step 5: Solve for x
    x = 5,280,326.42/2,811.90
  6. Step 6: Final answer
    x = 1,877.85

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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.