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Finding the Fourth Proportional to 2,723.88, 4,085.29 and 2,264.61

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Solution

The fourth proportional to 2,723.88, 4,085.29 and 2,264.61 is: 3,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.88 : 4,085.29 = 2,264.61 : x
  2. Step 2: Convert to fraction form
    2,723.88/4,085.29 = 2,264.61/x
  3. Step 3: Cross multiply
    2,723.88x = 4,085.29 × 2,264.61
  4. Step 4: Simplify right side
    2,723.88x = 9,251,571.02
  5. Step 5: Solve for x
    x = 9,251,571.02/2,723.88
  6. Step 6: Final answer
    x = 3,396.47

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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.