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Finding the Fourth Proportional to 2,180.54, 3,005.96 and 1,655.66

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Solution

The fourth proportional to 2,180.54, 3,005.96 and 1,655.66 is: 2,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.54 : 3,005.96 = 1,655.66 : x
  2. Step 2: Convert to fraction form
    2,180.54/3,005.96 = 1,655.66/x
  3. Step 3: Cross multiply
    2,180.54x = 3,005.96 × 1,655.66
  4. Step 4: Simplify right side
    2,180.54x = 4,976,847.73
  5. Step 5: Solve for x
    x = 4,976,847.73/2,180.54
  6. Step 6: Final answer
    x = 2,282.39

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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.