Home / 1,664.07-2,296.22-917.97

Finding the Fourth Proportional to 1,664.07, 2,296.22 and 917.97

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Solution

The fourth proportional to 1,664.07, 2,296.22 and 917.97 is: 1,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.07 : 2,296.22 = 917.97 : x
  2. Step 2: Convert to fraction form
    1,664.07/2,296.22 = 917.97/x
  3. Step 3: Cross multiply
    1,664.07x = 2,296.22 × 917.97
  4. Step 4: Simplify right side
    1,664.07x = 2,107,856.48
  5. Step 5: Solve for x
    x = 2,107,856.48/1,664.07
  6. Step 6: Final answer
    x = 1,266.69

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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.