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Finding the Fourth Proportional to 2,560.72, 3,837 and 1,908.16

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Solution

The fourth proportional to 2,560.72, 3,837 and 1,908.16 is: 2,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.72 : 3,837 = 1,908.16 : x
  2. Step 2: Convert to fraction form
    2,560.72/3,837 = 1,908.16/x
  3. Step 3: Cross multiply
    2,560.72x = 3,837 × 1,908.16
  4. Step 4: Simplify right side
    2,560.72x = 7,321,609.92
  5. Step 5: Solve for x
    x = 7,321,609.92/2,560.72
  6. Step 6: Final answer
    x = 2,859.20

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