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Finding the Fourth Proportional to 3,266.26, 4,899.30 and 1,074.40

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Solution

The fourth proportional to 3,266.26, 4,899.30 and 1,074.40 is: 1,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.26 : 4,899.30 = 1,074.40 : x
  2. Step 2: Convert to fraction form
    3,266.26/4,899.30 = 1,074.40/x
  3. Step 3: Cross multiply
    3,266.26x = 4,899.30 × 1,074.40
  4. Step 4: Simplify right side
    3,266.26x = 5,263,807.92
  5. Step 5: Solve for x
    x = 5,263,807.92/3,266.26
  6. Step 6: Final answer
    x = 1,611.57

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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.