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Finding the Fourth Proportional to 2,726.74, 3,761.97 and 1,664.22

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Solution

The fourth proportional to 2,726.74, 3,761.97 and 1,664.22 is: 2,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.74 : 3,761.97 = 1,664.22 : x
  2. Step 2: Convert to fraction form
    2,726.74/3,761.97 = 1,664.22/x
  3. Step 3: Cross multiply
    2,726.74x = 3,761.97 × 1,664.22
  4. Step 4: Simplify right side
    2,726.74x = 6,260,745.71
  5. Step 5: Solve for x
    x = 6,260,745.71/2,726.74
  6. Step 6: Final answer
    x = 2,296.06

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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.