Home / 1,640.49-2,263.68-932.42

Finding the Fourth Proportional to 1,640.49, 2,263.68 and 932.42

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Solution

The fourth proportional to 1,640.49, 2,263.68 and 932.42 is: 1,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.49 : 2,263.68 = 932.42 : x
  2. Step 2: Convert to fraction form
    1,640.49/2,263.68 = 932.42/x
  3. Step 3: Cross multiply
    1,640.49x = 2,263.68 × 932.42
  4. Step 4: Simplify right side
    1,640.49x = 2,110,700.51
  5. Step 5: Solve for x
    x = 2,110,700.51/1,640.49
  6. Step 6: Final answer
    x = 1,286.63

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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.