Home / 2,828.45-3,902.54-1,649.50

Finding the Fourth Proportional to 2,828.45, 3,902.54 and 1,649.50

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Solution

The fourth proportional to 2,828.45, 3,902.54 and 1,649.50 is: 2,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.45 : 3,902.54 = 1,649.50 : x
  2. Step 2: Convert to fraction form
    2,828.45/3,902.54 = 1,649.50/x
  3. Step 3: Cross multiply
    2,828.45x = 3,902.54 × 1,649.50
  4. Step 4: Simplify right side
    2,828.45x = 6,437,221.73
  5. Step 5: Solve for x
    x = 6,437,221.73/2,828.45
  6. Step 6: Final answer
    x = 2,275.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.