Home / 1,664.82-2,297.70-1,001.97

Finding the Fourth Proportional to 1,664.82, 2,297.70 and 1,001.97

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Solution

The fourth proportional to 1,664.82, 2,297.70 and 1,001.97 is: 1,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.82 : 2,297.70 = 1,001.97 : x
  2. Step 2: Convert to fraction form
    1,664.82/2,297.70 = 1,001.97/x
  3. Step 3: Cross multiply
    1,664.82x = 2,297.70 × 1,001.97
  4. Step 4: Simplify right side
    1,664.82x = 2,302,226.47
  5. Step 5: Solve for x
    x = 2,302,226.47/1,664.82
  6. Step 6: Final answer
    x = 1,382.87

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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.