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Finding the Fourth Proportional to 2,638.38, 3,956.30 and 788.84

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Solution

The fourth proportional to 2,638.38, 3,956.30 and 788.84 is: 1,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.38 : 3,956.30 = 788.84 : x
  2. Step 2: Convert to fraction form
    2,638.38/3,956.30 = 788.84/x
  3. Step 3: Cross multiply
    2,638.38x = 3,956.30 × 788.84
  4. Step 4: Simplify right side
    2,638.38x = 3,120,887.69
  5. Step 5: Solve for x
    x = 3,120,887.69/2,638.38
  6. Step 6: Final answer
    x = 1,182.88

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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.