Home / 2,783.24-4,171.22-2,084.42

Finding the Fourth Proportional to 2,783.24, 4,171.22 and 2,084.42

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Solution

The fourth proportional to 2,783.24, 4,171.22 and 2,084.42 is: 3,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.24 : 4,171.22 = 2,084.42 : x
  2. Step 2: Convert to fraction form
    2,783.24/4,171.22 = 2,084.42/x
  3. Step 3: Cross multiply
    2,783.24x = 4,171.22 × 2,084.42
  4. Step 4: Simplify right side
    2,783.24x = 8,694,574.39
  5. Step 5: Solve for x
    x = 8,694,574.39/2,783.24
  6. Step 6: Final answer
    x = 3,123.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.