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Finding the Fourth Proportional to 2,517.62, 3,782.81 and 1,593.62

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Solution

The fourth proportional to 2,517.62, 3,782.81 and 1,593.62 is: 2,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.62 : 3,782.81 = 1,593.62 : x
  2. Step 2: Convert to fraction form
    2,517.62/3,782.81 = 1,593.62/x
  3. Step 3: Cross multiply
    2,517.62x = 3,782.81 × 1,593.62
  4. Step 4: Simplify right side
    2,517.62x = 6,028,346.74
  5. Step 5: Solve for x
    x = 6,028,346.74/2,517.62
  6. Step 6: Final answer
    x = 2,394.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.