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Finding the Fourth Proportional to 1,922.80, 2,882.44 and 623.60

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Solution

The fourth proportional to 1,922.80, 2,882.44 and 623.60 is: 934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.80 : 2,882.44 = 623.60 : x
  2. Step 2: Convert to fraction form
    1,922.80/2,882.44 = 623.60/x
  3. Step 3: Cross multiply
    1,922.80x = 2,882.44 × 623.60
  4. Step 4: Simplify right side
    1,922.80x = 1,797,489.58
  5. Step 5: Solve for x
    x = 1,797,489.58/1,922.80
  6. Step 6: Final answer
    x = 934.83

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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.