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Finding the Fourth Proportional to 2,828.52, 3,903.21 and 1,649.97

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Solution

The fourth proportional to 2,828.52, 3,903.21 and 1,649.97 is: 2,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.52 : 3,903.21 = 1,649.97 : x
  2. Step 2: Convert to fraction form
    2,828.52/3,903.21 = 1,649.97/x
  3. Step 3: Cross multiply
    2,828.52x = 3,903.21 × 1,649.97
  4. Step 4: Simplify right side
    2,828.52x = 6,440,179.40
  5. Step 5: Solve for x
    x = 6,440,179.40/2,828.52
  6. Step 6: Final answer
    x = 2,276.87

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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.