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Finding the Fourth Proportional to 2,593.85, 3,581.60 and 2,003.36

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Solution

The fourth proportional to 2,593.85, 3,581.60 and 2,003.36 is: 2,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.85 : 3,581.60 = 2,003.36 : x
  2. Step 2: Convert to fraction form
    2,593.85/3,581.60 = 2,003.36/x
  3. Step 3: Cross multiply
    2,593.85x = 3,581.60 × 2,003.36
  4. Step 4: Simplify right side
    2,593.85x = 7,175,206.25
  5. Step 5: Solve for x
    x = 7,175,206.25/2,593.85
  6. Step 6: Final answer
    x = 2,766.24

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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.