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Finding the Fourth Proportional to 2,554.79, 3,832.19 and 799.81

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Solution

The fourth proportional to 2,554.79, 3,832.19 and 799.81 is: 1,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.79 : 3,832.19 = 799.81 : x
  2. Step 2: Convert to fraction form
    2,554.79/3,832.19 = 799.81/x
  3. Step 3: Cross multiply
    2,554.79x = 3,832.19 × 799.81
  4. Step 4: Simplify right side
    2,554.79x = 3,065,023.88
  5. Step 5: Solve for x
    x = 3,065,023.88/2,554.79
  6. Step 6: Final answer
    x = 1,199.72

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.