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Finding the Fourth Proportional to 2,084.23, 3,124.17 and 851.14

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Solution

The fourth proportional to 2,084.23, 3,124.17 and 851.14 is: 1,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.23 : 3,124.17 = 851.14 : x
  2. Step 2: Convert to fraction form
    2,084.23/3,124.17 = 851.14/x
  3. Step 3: Cross multiply
    2,084.23x = 3,124.17 × 851.14
  4. Step 4: Simplify right side
    2,084.23x = 2,659,106.05
  5. Step 5: Solve for x
    x = 2,659,106.05/2,084.23
  6. Step 6: Final answer
    x = 1,275.82

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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.