Home / 2,726.46-3,764.62-2,096

Finding the Fourth Proportional to 2,726.46, 3,764.62 and 2,096

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Solution

The fourth proportional to 2,726.46, 3,764.62 and 2,096 is: 2,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.46 : 3,764.62 = 2,096 : x
  2. Step 2: Convert to fraction form
    2,726.46/3,764.62 = 2,096/x
  3. Step 3: Cross multiply
    2,726.46x = 3,764.62 × 2,096
  4. Step 4: Simplify right side
    2,726.46x = 7,890,643.52
  5. Step 5: Solve for x
    x = 7,890,643.52/2,726.46
  6. Step 6: Final answer
    x = 2,894.10

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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.