Home / 1,538.32-2,122.92-949.24

Finding the Fourth Proportional to 1,538.32, 2,122.92 and 949.24

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Solution

The fourth proportional to 1,538.32, 2,122.92 and 949.24 is: 1,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.32 : 2,122.92 = 949.24 : x
  2. Step 2: Convert to fraction form
    1,538.32/2,122.92 = 949.24/x
  3. Step 3: Cross multiply
    1,538.32x = 2,122.92 × 949.24
  4. Step 4: Simplify right side
    1,538.32x = 2,015,160.58
  5. Step 5: Solve for x
    x = 2,015,160.58/1,538.32
  6. Step 6: Final answer
    x = 1,309.97

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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.