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Finding the Fourth Proportional to 2,874.48, 3,965.40 and 1,879.38

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Solution

The fourth proportional to 2,874.48, 3,965.40 and 1,879.38 is: 2,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.48 : 3,965.40 = 1,879.38 : x
  2. Step 2: Convert to fraction form
    2,874.48/3,965.40 = 1,879.38/x
  3. Step 3: Cross multiply
    2,874.48x = 3,965.40 × 1,879.38
  4. Step 4: Simplify right side
    2,874.48x = 7,452,493.45
  5. Step 5: Solve for x
    x = 7,452,493.45/2,874.48
  6. Step 6: Final answer
    x = 2,592.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.