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Finding the Fourth Proportional to 1,879, 2,593.48 and 1,093.20

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Solution

The fourth proportional to 1,879, 2,593.48 and 1,093.20 is: 1,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879 : 2,593.48 = 1,093.20 : x
  2. Step 2: Convert to fraction form
    1,879/2,593.48 = 1,093.20/x
  3. Step 3: Cross multiply
    1,879x = 2,593.48 × 1,093.20
  4. Step 4: Simplify right side
    1,879x = 2,835,192.34
  5. Step 5: Solve for x
    x = 2,835,192.34/1,879
  6. Step 6: Final answer
    x = 1,508.88

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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.