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Finding the Fourth Proportional to 1,947.83, 2,922.28 and 852.44

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Solution

The fourth proportional to 1,947.83, 2,922.28 and 852.44 is: 1,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.83 : 2,922.28 = 852.44 : x
  2. Step 2: Convert to fraction form
    1,947.83/2,922.28 = 852.44/x
  3. Step 3: Cross multiply
    1,947.83x = 2,922.28 × 852.44
  4. Step 4: Simplify right side
    1,947.83x = 2,491,051.62
  5. Step 5: Solve for x
    x = 2,491,051.62/1,947.83
  6. Step 6: Final answer
    x = 1,278.89

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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.