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Finding the Fourth Proportional to 2,777.32, 4,165.95 and 1,195.84

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Solution

The fourth proportional to 2,777.32, 4,165.95 and 1,195.84 is: 1,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.32 : 4,165.95 = 1,195.84 : x
  2. Step 2: Convert to fraction form
    2,777.32/4,165.95 = 1,195.84/x
  3. Step 3: Cross multiply
    2,777.32x = 4,165.95 × 1,195.84
  4. Step 4: Simplify right side
    2,777.32x = 4,981,809.65
  5. Step 5: Solve for x
    x = 4,981,809.65/2,777.32
  6. Step 6: Final answer
    x = 1,793.75

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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.