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Finding the Fourth Proportional to 2,659.06, 3,978.87 and 2,226.52

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Solution

The fourth proportional to 2,659.06, 3,978.87 and 2,226.52 is: 3,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.06 : 3,978.87 = 2,226.52 : x
  2. Step 2: Convert to fraction form
    2,659.06/3,978.87 = 2,226.52/x
  3. Step 3: Cross multiply
    2,659.06x = 3,978.87 × 2,226.52
  4. Step 4: Simplify right side
    2,659.06x = 8,859,033.63
  5. Step 5: Solve for x
    x = 8,859,033.63/2,659.06
  6. Step 6: Final answer
    x = 3,331.64

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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.