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Finding the Fourth Proportional to 2,793.42, 4,189.06 and 918.87

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Solution

The fourth proportional to 2,793.42, 4,189.06 and 918.87 is: 1,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.42 : 4,189.06 = 918.87 : x
  2. Step 2: Convert to fraction form
    2,793.42/4,189.06 = 918.87/x
  3. Step 3: Cross multiply
    2,793.42x = 4,189.06 × 918.87
  4. Step 4: Simplify right side
    2,793.42x = 3,849,201.56
  5. Step 5: Solve for x
    x = 3,849,201.56/2,793.42
  6. Step 6: Final answer
    x = 1,377.95

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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.