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Finding the Fourth Proportional to 2,712.87, 3,744.53 and 1,593.85

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Solution

The fourth proportional to 2,712.87, 3,744.53 and 1,593.85 is: 2,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.87 : 3,744.53 = 1,593.85 : x
  2. Step 2: Convert to fraction form
    2,712.87/3,744.53 = 1,593.85/x
  3. Step 3: Cross multiply
    2,712.87x = 3,744.53 × 1,593.85
  4. Step 4: Simplify right side
    2,712.87x = 5,968,219.14
  5. Step 5: Solve for x
    x = 5,968,219.14/2,712.87
  6. Step 6: Final answer
    x = 2,199.97

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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.