Home / 2,022.46-3,034.21-1,097.78

Finding the Fourth Proportional to 2,022.46, 3,034.21 and 1,097.78

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Solution

The fourth proportional to 2,022.46, 3,034.21 and 1,097.78 is: 1,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.46 : 3,034.21 = 1,097.78 : x
  2. Step 2: Convert to fraction form
    2,022.46/3,034.21 = 1,097.78/x
  3. Step 3: Cross multiply
    2,022.46x = 3,034.21 × 1,097.78
  4. Step 4: Simplify right side
    2,022.46x = 3,330,877.14
  5. Step 5: Solve for x
    x = 3,330,877.14/2,022.46
  6. Step 6: Final answer
    x = 1,646.95

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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.