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Finding the Fourth Proportional to 2,561.88, 3,846.06 and 2,179.56

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Solution

The fourth proportional to 2,561.88, 3,846.06 and 2,179.56 is: 3,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.88 : 3,846.06 = 2,179.56 : x
  2. Step 2: Convert to fraction form
    2,561.88/3,846.06 = 2,179.56/x
  3. Step 3: Cross multiply
    2,561.88x = 3,846.06 × 2,179.56
  4. Step 4: Simplify right side
    2,561.88x = 8,382,718.53
  5. Step 5: Solve for x
    x = 8,382,718.53/2,561.88
  6. Step 6: Final answer
    x = 3,272.10

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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.