Home / 2,165.28-3,233.70-2,142.60

Finding the Fourth Proportional to 2,165.28, 3,233.70 and 2,142.60

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Solution

The fourth proportional to 2,165.28, 3,233.70 and 2,142.60 is: 3,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.28 : 3,233.70 = 2,142.60 : x
  2. Step 2: Convert to fraction form
    2,165.28/3,233.70 = 2,142.60/x
  3. Step 3: Cross multiply
    2,165.28x = 3,233.70 × 2,142.60
  4. Step 4: Simplify right side
    2,165.28x = 6,928,525.62
  5. Step 5: Solve for x
    x = 6,928,525.62/2,165.28
  6. Step 6: Final answer
    x = 3,199.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.