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Finding the Fourth Proportional to 2,600.92, 3,589.28 and 1,605.97

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Solution

The fourth proportional to 2,600.92, 3,589.28 and 1,605.97 is: 2,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.92 : 3,589.28 = 1,605.97 : x
  2. Step 2: Convert to fraction form
    2,600.92/3,589.28 = 1,605.97/x
  3. Step 3: Cross multiply
    2,600.92x = 3,589.28 × 1,605.97
  4. Step 4: Simplify right side
    2,600.92x = 5,764,276.00
  5. Step 5: Solve for x
    x = 5,764,276.00/2,600.92
  6. Step 6: Final answer
    x = 2,216.25

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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.