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Finding the Fourth Proportional to 2,811.72, 3,880.38 and 2,069.08

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Solution

The fourth proportional to 2,811.72, 3,880.38 and 2,069.08 is: 2,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.72 : 3,880.38 = 2,069.08 : x
  2. Step 2: Convert to fraction form
    2,811.72/3,880.38 = 2,069.08/x
  3. Step 3: Cross multiply
    2,811.72x = 3,880.38 × 2,069.08
  4. Step 4: Simplify right side
    2,811.72x = 8,028,816.65
  5. Step 5: Solve for x
    x = 8,028,816.65/2,811.72
  6. Step 6: Final answer
    x = 2,855.48

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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.