Home / 1,484.97-2,049.25-821.78

Finding the Fourth Proportional to 1,484.97, 2,049.25 and 821.78

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Solution

The fourth proportional to 1,484.97, 2,049.25 and 821.78 is: 1,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.97 : 2,049.25 = 821.78 : x
  2. Step 2: Convert to fraction form
    1,484.97/2,049.25 = 821.78/x
  3. Step 3: Cross multiply
    1,484.97x = 2,049.25 × 821.78
  4. Step 4: Simplify right side
    1,484.97x = 1,684,029.59
  5. Step 5: Solve for x
    x = 1,684,029.59/1,484.97
  6. Step 6: Final answer
    x = 1,134.05

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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.