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Finding the Fourth Proportional to 1,922.18, 2,883.69 and 623.78

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Solution

The fourth proportional to 1,922.18, 2,883.69 and 623.78 is: 935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.18 : 2,883.69 = 623.78 : x
  2. Step 2: Convert to fraction form
    1,922.18/2,883.69 = 623.78/x
  3. Step 3: Cross multiply
    1,922.18x = 2,883.69 × 623.78
  4. Step 4: Simplify right side
    1,922.18x = 1,798,788.15
  5. Step 5: Solve for x
    x = 1,798,788.15/1,922.18
  6. Step 6: Final answer
    x = 935.81

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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.