Home / 1,966.24-2,949.49-667.80

Finding the Fourth Proportional to 1,966.24, 2,949.49 and 667.80

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Solution

The fourth proportional to 1,966.24, 2,949.49 and 667.80 is: 1,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.24 : 2,949.49 = 667.80 : x
  2. Step 2: Convert to fraction form
    1,966.24/2,949.49 = 667.80/x
  3. Step 3: Cross multiply
    1,966.24x = 2,949.49 × 667.80
  4. Step 4: Simplify right side
    1,966.24x = 1,969,669.42
  5. Step 5: Solve for x
    x = 1,969,669.42/1,966.24
  6. Step 6: Final answer
    x = 1,001.74

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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.