Home / 2,296.26-3,442.50-2,167.47

Finding the Fourth Proportional to 2,296.26, 3,442.50 and 2,167.47

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Solution

The fourth proportional to 2,296.26, 3,442.50 and 2,167.47 is: 3,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.26 : 3,442.50 = 2,167.47 : x
  2. Step 2: Convert to fraction form
    2,296.26/3,442.50 = 2,167.47/x
  3. Step 3: Cross multiply
    2,296.26x = 3,442.50 × 2,167.47
  4. Step 4: Simplify right side
    2,296.26x = 7,461,515.48
  5. Step 5: Solve for x
    x = 7,461,515.48/2,296.26
  6. Step 6: Final answer
    x = 3,249.42

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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.