Home / 2,097.38-3,146.13-943.13

Finding the Fourth Proportional to 2,097.38, 3,146.13 and 943.13

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Solution

The fourth proportional to 2,097.38, 3,146.13 and 943.13 is: 1,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.38 : 3,146.13 = 943.13 : x
  2. Step 2: Convert to fraction form
    2,097.38/3,146.13 = 943.13/x
  3. Step 3: Cross multiply
    2,097.38x = 3,146.13 × 943.13
  4. Step 4: Simplify right side
    2,097.38x = 2,967,209.59
  5. Step 5: Solve for x
    x = 2,967,209.59/2,097.38
  6. Step 6: Final answer
    x = 1,414.72

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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.