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Finding the Fourth Proportional to 3,266.43, 4,898.61 and 1,074.66

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Solution

The fourth proportional to 3,266.43, 4,898.61 and 1,074.66 is: 1,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.43 : 4,898.61 = 1,074.66 : x
  2. Step 2: Convert to fraction form
    3,266.43/4,898.61 = 1,074.66/x
  3. Step 3: Cross multiply
    3,266.43x = 4,898.61 × 1,074.66
  4. Step 4: Simplify right side
    3,266.43x = 5,264,340.22
  5. Step 5: Solve for x
    x = 5,264,340.22/3,266.43
  6. Step 6: Final answer
    x = 1,611.65

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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.