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Finding the Fourth Proportional to 1,933.96, 2,902.16 and 823.38

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Solution

The fourth proportional to 1,933.96, 2,902.16 and 823.38 is: 1,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.96 : 2,902.16 = 823.38 : x
  2. Step 2: Convert to fraction form
    1,933.96/2,902.16 = 823.38/x
  3. Step 3: Cross multiply
    1,933.96x = 2,902.16 × 823.38
  4. Step 4: Simplify right side
    1,933.96x = 2,389,570.65
  5. Step 5: Solve for x
    x = 2,389,570.65/1,933.96
  6. Step 6: Final answer
    x = 1,235.58

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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.