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Finding the Fourth Proportional to 2,778.82, 3,832.62 and 1,659.52

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Solution

The fourth proportional to 2,778.82, 3,832.62 and 1,659.52 is: 2,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.82 : 3,832.62 = 1,659.52 : x
  2. Step 2: Convert to fraction form
    2,778.82/3,832.62 = 1,659.52/x
  3. Step 3: Cross multiply
    2,778.82x = 3,832.62 × 1,659.52
  4. Step 4: Simplify right side
    2,778.82x = 6,360,308.11
  5. Step 5: Solve for x
    x = 6,360,308.11/2,778.82
  6. Step 6: Final answer
    x = 2,288.85

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1.5x scale

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.