Home / 2,119.24-3,177.84-732.09

Finding the Fourth Proportional to 2,119.24, 3,177.84 and 732.09

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Solution

The fourth proportional to 2,119.24, 3,177.84 and 732.09 is: 1,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.24 : 3,177.84 = 732.09 : x
  2. Step 2: Convert to fraction form
    2,119.24/3,177.84 = 732.09/x
  3. Step 3: Cross multiply
    2,119.24x = 3,177.84 × 732.09
  4. Step 4: Simplify right side
    2,119.24x = 2,326,465.46
  5. Step 5: Solve for x
    x = 2,326,465.46/2,119.24
  6. Step 6: Final answer
    x = 1,097.78

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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.