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Finding the Fourth Proportional to 3,266.57, 4,898.01 and 1,074.71

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Solution

The fourth proportional to 3,266.57, 4,898.01 and 1,074.71 is: 1,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.57 : 4,898.01 = 1,074.71 : x
  2. Step 2: Convert to fraction form
    3,266.57/4,898.01 = 1,074.71/x
  3. Step 3: Cross multiply
    3,266.57x = 4,898.01 × 1,074.71
  4. Step 4: Simplify right side
    3,266.57x = 5,263,940.33
  5. Step 5: Solve for x
    x = 5,263,940.33/3,266.57
  6. Step 6: Final answer
    x = 1,611.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.