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Finding the Fourth Proportional to 2,593.76, 3,580.03 and 1,599.85

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Solution

The fourth proportional to 2,593.76, 3,580.03 and 1,599.85 is: 2,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.76 : 3,580.03 = 1,599.85 : x
  2. Step 2: Convert to fraction form
    2,593.76/3,580.03 = 1,599.85/x
  3. Step 3: Cross multiply
    2,593.76x = 3,580.03 × 1,599.85
  4. Step 4: Simplify right side
    2,593.76x = 5,727,517.47
  5. Step 5: Solve for x
    x = 5,727,517.47/2,593.76
  6. Step 6: Final answer
    x = 2,208.20

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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.