Home / 2,206.29-3,309.43-745.42

Finding the Fourth Proportional to 2,206.29, 3,309.43 and 745.42

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Solution

The fourth proportional to 2,206.29, 3,309.43 and 745.42 is: 1,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.29 : 3,309.43 = 745.42 : x
  2. Step 2: Convert to fraction form
    2,206.29/3,309.43 = 745.42/x
  3. Step 3: Cross multiply
    2,206.29x = 3,309.43 × 745.42
  4. Step 4: Simplify right side
    2,206.29x = 2,466,915.31
  5. Step 5: Solve for x
    x = 2,466,915.31/2,206.29
  6. Step 6: Final answer
    x = 1,118.13

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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.