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Finding the Fourth Proportional to 1,924.26, 2,884.56 and 624.88

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Solution

The fourth proportional to 1,924.26, 2,884.56 and 624.88 is: 936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.26 : 2,884.56 = 624.88 : x
  2. Step 2: Convert to fraction form
    1,924.26/2,884.56 = 624.88/x
  3. Step 3: Cross multiply
    1,924.26x = 2,884.56 × 624.88
  4. Step 4: Simplify right side
    1,924.26x = 1,802,503.85
  5. Step 5: Solve for x
    x = 1,802,503.85/1,924.26
  6. Step 6: Final answer
    x = 936.73

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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.