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Finding the Fourth Proportional to 2,593.61, 3,579.98 and 1,599.20

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Solution

The fourth proportional to 2,593.61, 3,579.98 and 1,599.20 is: 2,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.61 : 3,579.98 = 1,599.20 : x
  2. Step 2: Convert to fraction form
    2,593.61/3,579.98 = 1,599.20/x
  3. Step 3: Cross multiply
    2,593.61x = 3,579.98 × 1,599.20
  4. Step 4: Simplify right side
    2,593.61x = 5,725,104.02
  5. Step 5: Solve for x
    x = 5,725,104.02/2,593.61
  6. Step 6: Final answer
    x = 2,207.39

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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.