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Finding the Fourth Proportional to 1,947.84, 2,920.14 and 851.88

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Solution

The fourth proportional to 1,947.84, 2,920.14 and 851.88 is: 1,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.84 : 2,920.14 = 851.88 : x
  2. Step 2: Convert to fraction form
    1,947.84/2,920.14 = 851.88/x
  3. Step 3: Cross multiply
    1,947.84x = 2,920.14 × 851.88
  4. Step 4: Simplify right side
    1,947.84x = 2,487,608.86
  5. Step 5: Solve for x
    x = 2,487,608.86/1,947.84
  6. Step 6: Final answer
    x = 1,277.11

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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.