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Finding the Fourth Proportional to 2,855.25, 4,282.85 and 1,468.97

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Solution

The fourth proportional to 2,855.25, 4,282.85 and 1,468.97 is: 2,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.25 : 4,282.85 = 1,468.97 : x
  2. Step 2: Convert to fraction form
    2,855.25/4,282.85 = 1,468.97/x
  3. Step 3: Cross multiply
    2,855.25x = 4,282.85 × 1,468.97
  4. Step 4: Simplify right side
    2,855.25x = 6,291,378.16
  5. Step 5: Solve for x
    x = 6,291,378.16/2,855.25
  6. Step 6: Final answer
    x = 2,203.44

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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.