Home / 2,032.50-3,046.94-733.68

Finding the Fourth Proportional to 2,032.50, 3,046.94 and 733.68

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Solution

The fourth proportional to 2,032.50, 3,046.94 and 733.68 is: 1,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.50 : 3,046.94 = 733.68 : x
  2. Step 2: Convert to fraction form
    2,032.50/3,046.94 = 733.68/x
  3. Step 3: Cross multiply
    2,032.50x = 3,046.94 × 733.68
  4. Step 4: Simplify right side
    2,032.50x = 2,235,478.94
  5. Step 5: Solve for x
    x = 2,235,478.94/2,032.50
  6. Step 6: Final answer
    x = 1,099.87

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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.