Home / 2,148.35-3,221.46-761.48

Finding the Fourth Proportional to 2,148.35, 3,221.46 and 761.48

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Solution

The fourth proportional to 2,148.35, 3,221.46 and 761.48 is: 1,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.35 : 3,221.46 = 761.48 : x
  2. Step 2: Convert to fraction form
    2,148.35/3,221.46 = 761.48/x
  3. Step 3: Cross multiply
    2,148.35x = 3,221.46 × 761.48
  4. Step 4: Simplify right side
    2,148.35x = 2,453,083.59
  5. Step 5: Solve for x
    x = 2,453,083.59/2,148.35
  6. Step 6: Final answer
    x = 1,141.85

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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.