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Finding the Fourth Proportional to 2,811.46, 4,217.46 and 1,167.97

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Solution

The fourth proportional to 2,811.46, 4,217.46 and 1,167.97 is: 1,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.46 : 4,217.46 = 1,167.97 : x
  2. Step 2: Convert to fraction form
    2,811.46/4,217.46 = 1,167.97/x
  3. Step 3: Cross multiply
    2,811.46x = 4,217.46 × 1,167.97
  4. Step 4: Simplify right side
    2,811.46x = 4,925,866.76
  5. Step 5: Solve for x
    x = 4,925,866.76/2,811.46
  6. Step 6: Final answer
    x = 1,752.07

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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.