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Finding the Fourth Proportional to 3,084.84, 4,257.60 and 1,966.23

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Solution

The fourth proportional to 3,084.84, 4,257.60 and 1,966.23 is: 2,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.84 : 4,257.60 = 1,966.23 : x
  2. Step 2: Convert to fraction form
    3,084.84/4,257.60 = 1,966.23/x
  3. Step 3: Cross multiply
    3,084.84x = 4,257.60 × 1,966.23
  4. Step 4: Simplify right side
    3,084.84x = 8,371,420.85
  5. Step 5: Solve for x
    x = 8,371,420.85/3,084.84
  6. Step 6: Final answer
    x = 2,713.73

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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.