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Finding the Fourth Proportional to 1,934.75, 2,902.13 and 618.56

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Solution

The fourth proportional to 1,934.75, 2,902.13 and 618.56 is: 927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.75 : 2,902.13 = 618.56 : x
  2. Step 2: Convert to fraction form
    1,934.75/2,902.13 = 618.56/x
  3. Step 3: Cross multiply
    1,934.75x = 2,902.13 × 618.56
  4. Step 4: Simplify right side
    1,934.75x = 1,795,141.53
  5. Step 5: Solve for x
    x = 1,795,141.53/1,934.75
  6. Step 6: Final answer
    x = 927.84

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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.