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Finding the Fourth Proportional to 1,352.34, 1,874.73 and 1,278.42

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Solution

The fourth proportional to 1,352.34, 1,874.73 and 1,278.42 is: 1,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.34 : 1,874.73 = 1,278.42 : x
  2. Step 2: Convert to fraction form
    1,352.34/1,874.73 = 1,278.42/x
  3. Step 3: Cross multiply
    1,352.34x = 1,874.73 × 1,278.42
  4. Step 4: Simplify right side
    1,352.34x = 2,396,692.33
  5. Step 5: Solve for x
    x = 2,396,692.33/1,352.34
  6. Step 6: Final answer
    x = 1,772.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.