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Finding the Fourth Proportional to 3,266.43, 4,897.61 and 1,074.57

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Solution

The fourth proportional to 3,266.43, 4,897.61 and 1,074.57 is: 1,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.43 : 4,897.61 = 1,074.57 : x
  2. Step 2: Convert to fraction form
    3,266.43/4,897.61 = 1,074.57/x
  3. Step 3: Cross multiply
    3,266.43x = 4,897.61 × 1,074.57
  4. Step 4: Simplify right side
    3,266.43x = 5,262,811.11
  5. Step 5: Solve for x
    x = 5,262,811.11/3,266.43
  6. Step 6: Final answer
    x = 1,611.18

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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.