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Finding the Fourth Proportional to 3,191.88, 4,785.51 and 2,149.30

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Solution

The fourth proportional to 3,191.88, 4,785.51 and 2,149.30 is: 3,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.88 : 4,785.51 = 2,149.30 : x
  2. Step 2: Convert to fraction form
    3,191.88/4,785.51 = 2,149.30/x
  3. Step 3: Cross multiply
    3,191.88x = 4,785.51 × 2,149.30
  4. Step 4: Simplify right side
    3,191.88x = 10,285,472.72
  5. Step 5: Solve for x
    x = 10,285,472.72/3,191.88
  6. Step 6: Final answer
    x = 3,222.39

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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.