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Finding the Fourth Proportional to 2,669.30, 3,679.11 and 1,872.86

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Solution

The fourth proportional to 2,669.30, 3,679.11 and 1,872.86 is: 2,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.30 : 3,679.11 = 1,872.86 : x
  2. Step 2: Convert to fraction form
    2,669.30/3,679.11 = 1,872.86/x
  3. Step 3: Cross multiply
    2,669.30x = 3,679.11 × 1,872.86
  4. Step 4: Simplify right side
    2,669.30x = 6,890,467.15
  5. Step 5: Solve for x
    x = 6,890,467.15/2,669.30
  6. Step 6: Final answer
    x = 2,581.38

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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.