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Finding the Fourth Proportional to 2,855.28, 3,942.52 and 2,191.08

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Solution

The fourth proportional to 2,855.28, 3,942.52 and 2,191.08 is: 3,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.28 : 3,942.52 = 2,191.08 : x
  2. Step 2: Convert to fraction form
    2,855.28/3,942.52 = 2,191.08/x
  3. Step 3: Cross multiply
    2,855.28x = 3,942.52 × 2,191.08
  4. Step 4: Simplify right side
    2,855.28x = 8,638,376.72
  5. Step 5: Solve for x
    x = 8,638,376.72/2,855.28
  6. Step 6: Final answer
    x = 3,025.40

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Why These Related Problems?

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