Home / 1,843.24-2,543.16-1,097.14

Finding the Fourth Proportional to 1,843.24, 2,543.16 and 1,097.14

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Solution

The fourth proportional to 1,843.24, 2,543.16 and 1,097.14 is: 1,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.24 : 2,543.16 = 1,097.14 : x
  2. Step 2: Convert to fraction form
    1,843.24/2,543.16 = 1,097.14/x
  3. Step 3: Cross multiply
    1,843.24x = 2,543.16 × 1,097.14
  4. Step 4: Simplify right side
    1,843.24x = 2,790,202.56
  5. Step 5: Solve for x
    x = 2,790,202.56/1,843.24
  6. Step 6: Final answer
    x = 1,513.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.