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Finding the Fourth Proportional to 2,833.48, 3,910.56 and 1,655

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Solution

The fourth proportional to 2,833.48, 3,910.56 and 1,655 is: 2,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.48 : 3,910.56 = 1,655 : x
  2. Step 2: Convert to fraction form
    2,833.48/3,910.56 = 1,655/x
  3. Step 3: Cross multiply
    2,833.48x = 3,910.56 × 1,655
  4. Step 4: Simplify right side
    2,833.48x = 6,471,976.80
  5. Step 5: Solve for x
    x = 6,471,976.80/2,833.48
  6. Step 6: Final answer
    x = 2,284.11

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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.