Home / 2,119.38-3,178.68-803.25

Finding the Fourth Proportional to 2,119.38, 3,178.68 and 803.25

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Solution

The fourth proportional to 2,119.38, 3,178.68 and 803.25 is: 1,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.38 : 3,178.68 = 803.25 : x
  2. Step 2: Convert to fraction form
    2,119.38/3,178.68 = 803.25/x
  3. Step 3: Cross multiply
    2,119.38x = 3,178.68 × 803.25
  4. Step 4: Simplify right side
    2,119.38x = 2,553,274.71
  5. Step 5: Solve for x
    x = 2,553,274.71/2,119.38
  6. Step 6: Final answer
    x = 1,204.73

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1.5x scale

Why These Related Problems?

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