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Finding the Fourth Proportional to 1,922.67, 2,883.96 and 624.06

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Solution

The fourth proportional to 1,922.67, 2,883.96 and 624.06 is: 936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.67 : 2,883.96 = 624.06 : x
  2. Step 2: Convert to fraction form
    1,922.67/2,883.96 = 624.06/x
  3. Step 3: Cross multiply
    1,922.67x = 2,883.96 × 624.06
  4. Step 4: Simplify right side
    1,922.67x = 1,799,764.08
  5. Step 5: Solve for x
    x = 1,799,764.08/1,922.67
  6. Step 6: Final answer
    x = 936.08

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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.