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Finding the Fourth Proportional to 1,934.67, 2,902.43 and 618.83

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Solution

The fourth proportional to 1,934.67, 2,902.43 and 618.83 is: 928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.67 : 2,902.43 = 618.83 : x
  2. Step 2: Convert to fraction form
    1,934.67/2,902.43 = 618.83/x
  3. Step 3: Cross multiply
    1,934.67x = 2,902.43 × 618.83
  4. Step 4: Simplify right side
    1,934.67x = 1,796,093.15
  5. Step 5: Solve for x
    x = 1,796,093.15/1,934.67
  6. Step 6: Final answer
    x = 928.37

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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.