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Finding the Fourth Proportional to 2,659.38, 3,669.53 and 1,480.20

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Solution

The fourth proportional to 2,659.38, 3,669.53 and 1,480.20 is: 2,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.38 : 3,669.53 = 1,480.20 : x
  2. Step 2: Convert to fraction form
    2,659.38/3,669.53 = 1,480.20/x
  3. Step 3: Cross multiply
    2,659.38x = 3,669.53 × 1,480.20
  4. Step 4: Simplify right side
    2,659.38x = 5,431,630.91
  5. Step 5: Solve for x
    x = 5,431,630.91/2,659.38
  6. Step 6: Final answer
    x = 2,042.44

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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.