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Finding the Fourth Proportional to 1,879.48, 2,593.78 and 1,093.72

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Solution

The fourth proportional to 1,879.48, 2,593.78 and 1,093.72 is: 1,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.48 : 2,593.78 = 1,093.72 : x
  2. Step 2: Convert to fraction form
    1,879.48/2,593.78 = 1,093.72/x
  3. Step 3: Cross multiply
    1,879.48x = 2,593.78 × 1,093.72
  4. Step 4: Simplify right side
    1,879.48x = 2,836,869.06
  5. Step 5: Solve for x
    x = 2,836,869.06/1,879.48
  6. Step 6: Final answer
    x = 1,509.39

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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.