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Finding the Fourth Proportional to 2,084.94, 3,124.96 and 850.95

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Solution

The fourth proportional to 2,084.94, 3,124.96 and 850.95 is: 1,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.94 : 3,124.96 = 850.95 : x
  2. Step 2: Convert to fraction form
    2,084.94/3,124.96 = 850.95/x
  3. Step 3: Cross multiply
    2,084.94x = 3,124.96 × 850.95
  4. Step 4: Simplify right side
    2,084.94x = 2,659,184.71
  5. Step 5: Solve for x
    x = 2,659,184.71/2,084.94
  6. Step 6: Final answer
    x = 1,275.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.