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Finding the Fourth Proportional to 1,922.04, 2,883.16 and 605.83

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Solution

The fourth proportional to 1,922.04, 2,883.16 and 605.83 is: 908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.04 : 2,883.16 = 605.83 : x
  2. Step 2: Convert to fraction form
    1,922.04/2,883.16 = 605.83/x
  3. Step 3: Cross multiply
    1,922.04x = 2,883.16 × 605.83
  4. Step 4: Simplify right side
    1,922.04x = 1,746,705.06
  5. Step 5: Solve for x
    x = 1,746,705.06/1,922.04
  6. Step 6: Final answer
    x = 908.78

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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.