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Finding the Fourth Proportional to 3,084.91, 4,257.27 and 1,687.66

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Solution

The fourth proportional to 3,084.91, 4,257.27 and 1,687.66 is: 2,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.91 : 4,257.27 = 1,687.66 : x
  2. Step 2: Convert to fraction form
    3,084.91/4,257.27 = 1,687.66/x
  3. Step 3: Cross multiply
    3,084.91x = 4,257.27 × 1,687.66
  4. Step 4: Simplify right side
    3,084.91x = 7,184,824.29
  5. Step 5: Solve for x
    x = 7,184,824.29/3,084.91
  6. Step 6: Final answer
    x = 2,329.02

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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.