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Finding the Fourth Proportional to 2,367.99, 3,266.80 and 1,659.96

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Solution

The fourth proportional to 2,367.99, 3,266.80 and 1,659.96 is: 2,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.99 : 3,266.80 = 1,659.96 : x
  2. Step 2: Convert to fraction form
    2,367.99/3,266.80 = 1,659.96/x
  3. Step 3: Cross multiply
    2,367.99x = 3,266.80 × 1,659.96
  4. Step 4: Simplify right side
    2,367.99x = 5,422,753.18
  5. Step 5: Solve for x
    x = 5,422,753.18/2,367.99
  6. Step 6: Final answer
    x = 2,290.02

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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.