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Finding the Fourth Proportional to 3,266.26, 4,900.10 and 1,074.89

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Solution

The fourth proportional to 3,266.26, 4,900.10 and 1,074.89 is: 1,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.26 : 4,900.10 = 1,074.89 : x
  2. Step 2: Convert to fraction form
    3,266.26/4,900.10 = 1,074.89/x
  3. Step 3: Cross multiply
    3,266.26x = 4,900.10 × 1,074.89
  4. Step 4: Simplify right side
    3,266.26x = 5,267,068.49
  5. Step 5: Solve for x
    x = 5,267,068.49/3,266.26
  6. Step 6: Final answer
    x = 1,612.57

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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.