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Finding the Fourth Proportional to 2,794.13, 3,855.88 and 1,535.20

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Solution

The fourth proportional to 2,794.13, 3,855.88 and 1,535.20 is: 2,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.13 : 3,855.88 = 1,535.20 : x
  2. Step 2: Convert to fraction form
    2,794.13/3,855.88 = 1,535.20/x
  3. Step 3: Cross multiply
    2,794.13x = 3,855.88 × 1,535.20
  4. Step 4: Simplify right side
    2,794.13x = 5,919,546.98
  5. Step 5: Solve for x
    x = 5,919,546.98/2,794.13
  6. Step 6: Final answer
    x = 2,118.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.