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Finding the Fourth Proportional to 1,947.30, 2,921.46 and 851.88

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Solution

The fourth proportional to 1,947.30, 2,921.46 and 851.88 is: 1,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.30 : 2,921.46 = 851.88 : x
  2. Step 2: Convert to fraction form
    1,947.30/2,921.46 = 851.88/x
  3. Step 3: Cross multiply
    1,947.30x = 2,921.46 × 851.88
  4. Step 4: Simplify right side
    1,947.30x = 2,488,733.34
  5. Step 5: Solve for x
    x = 2,488,733.34/1,947.30
  6. Step 6: Final answer
    x = 1,278.04

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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.