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Finding the Fourth Proportional to 2,847.42, 4,266.02 and 1,201.10

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Solution

The fourth proportional to 2,847.42, 4,266.02 and 1,201.10 is: 1,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.42 : 4,266.02 = 1,201.10 : x
  2. Step 2: Convert to fraction form
    2,847.42/4,266.02 = 1,201.10/x
  3. Step 3: Cross multiply
    2,847.42x = 4,266.02 × 1,201.10
  4. Step 4: Simplify right side
    2,847.42x = 5,123,916.62
  5. Step 5: Solve for x
    x = 5,123,916.62/2,847.42
  6. Step 6: Final answer
    x = 1,799.49

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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.