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Finding the Fourth Proportional to 2,579.82, 3,865.02 and 1,655.51

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Solution

The fourth proportional to 2,579.82, 3,865.02 and 1,655.51 is: 2,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.82 : 3,865.02 = 1,655.51 : x
  2. Step 2: Convert to fraction form
    2,579.82/3,865.02 = 1,655.51/x
  3. Step 3: Cross multiply
    2,579.82x = 3,865.02 × 1,655.51
  4. Step 4: Simplify right side
    2,579.82x = 6,398,553.73
  5. Step 5: Solve for x
    x = 6,398,553.73/2,579.82
  6. Step 6: Final answer
    x = 2,480.24

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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.