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Finding the Fourth Proportional to 2,593.29, 3,579.32 and 1,648.90

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Solution

The fourth proportional to 2,593.29, 3,579.32 and 1,648.90 is: 2,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.29 : 3,579.32 = 1,648.90 : x
  2. Step 2: Convert to fraction form
    2,593.29/3,579.32 = 1,648.90/x
  3. Step 3: Cross multiply
    2,593.29x = 3,579.32 × 1,648.90
  4. Step 4: Simplify right side
    2,593.29x = 5,901,940.75
  5. Step 5: Solve for x
    x = 5,901,940.75/2,593.29
  6. Step 6: Final answer
    x = 2,275.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.