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Finding the Fourth Proportional to 1,997.19, 2,752.97 and 1,836.41

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Solution

The fourth proportional to 1,997.19, 2,752.97 and 1,836.41 is: 2,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.19 : 2,752.97 = 1,836.41 : x
  2. Step 2: Convert to fraction form
    1,997.19/2,752.97 = 1,836.41/x
  3. Step 3: Cross multiply
    1,997.19x = 2,752.97 × 1,836.41
  4. Step 4: Simplify right side
    1,997.19x = 5,055,558.69
  5. Step 5: Solve for x
    x = 5,055,558.69/1,997.19
  6. Step 6: Final answer
    x = 2,531.34

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Double scale
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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.