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Finding the Fourth Proportional to 3,191.73, 4,787.80 and 851.70

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Solution

The fourth proportional to 3,191.73, 4,787.80 and 851.70 is: 1,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.73 : 4,787.80 = 851.70 : x
  2. Step 2: Convert to fraction form
    3,191.73/4,787.80 = 851.70/x
  3. Step 3: Cross multiply
    3,191.73x = 4,787.80 × 851.70
  4. Step 4: Simplify right side
    3,191.73x = 4,077,769.26
  5. Step 5: Solve for x
    x = 4,077,769.26/3,191.73
  6. Step 6: Final answer
    x = 1,277.60

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1.5x scale

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.