Home / 3,098.26-4,646.72-1,097.22

Finding the Fourth Proportional to 3,098.26, 4,646.72 and 1,097.22

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Solution

The fourth proportional to 3,098.26, 4,646.72 and 1,097.22 is: 1,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.26 : 4,646.72 = 1,097.22 : x
  2. Step 2: Convert to fraction form
    3,098.26/4,646.72 = 1,097.22/x
  3. Step 3: Cross multiply
    3,098.26x = 4,646.72 × 1,097.22
  4. Step 4: Simplify right side
    3,098.26x = 5,098,474.12
  5. Step 5: Solve for x
    x = 5,098,474.12/3,098.26
  6. Step 6: Final answer
    x = 1,645.59

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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.