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Finding the Fourth Proportional to 2,593.92, 3,578.16 and 1,648.08

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Solution

The fourth proportional to 2,593.92, 3,578.16 and 1,648.08 is: 2,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.92 : 3,578.16 = 1,648.08 : x
  2. Step 2: Convert to fraction form
    2,593.92/3,578.16 = 1,648.08/x
  3. Step 3: Cross multiply
    2,593.92x = 3,578.16 × 1,648.08
  4. Step 4: Simplify right side
    2,593.92x = 5,897,093.93
  5. Step 5: Solve for x
    x = 5,897,093.93/2,593.92
  6. Step 6: Final answer
    x = 2,273.43

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1.5x scale

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.