Home / 2,823.82-3,897.10-1,878

Finding the Fourth Proportional to 2,823.82, 3,897.10 and 1,878

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Solution

The fourth proportional to 2,823.82, 3,897.10 and 1,878 is: 2,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.82 : 3,897.10 = 1,878 : x
  2. Step 2: Convert to fraction form
    2,823.82/3,897.10 = 1,878/x
  3. Step 3: Cross multiply
    2,823.82x = 3,897.10 × 1,878
  4. Step 4: Simplify right side
    2,823.82x = 7,318,753.80
  5. Step 5: Solve for x
    x = 7,318,753.80/2,823.82
  6. Step 6: Final answer
    x = 2,591.79

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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.