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Finding the Fourth Proportional to 2,648.92, 3,655.59 and 1,600.39

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Solution

The fourth proportional to 2,648.92, 3,655.59 and 1,600.39 is: 2,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.92 : 3,655.59 = 1,600.39 : x
  2. Step 2: Convert to fraction form
    2,648.92/3,655.59 = 1,600.39/x
  3. Step 3: Cross multiply
    2,648.92x = 3,655.59 × 1,600.39
  4. Step 4: Simplify right side
    2,648.92x = 5,850,369.68
  5. Step 5: Solve for x
    x = 5,850,369.68/2,648.92
  6. Step 6: Final answer
    x = 2,208.59

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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.