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Finding the Fourth Proportional to 2,655.92, 3,984.35 and 2,166.66

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Solution

The fourth proportional to 2,655.92, 3,984.35 and 2,166.66 is: 3,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.92 : 3,984.35 = 2,166.66 : x
  2. Step 2: Convert to fraction form
    2,655.92/3,984.35 = 2,166.66/x
  3. Step 3: Cross multiply
    2,655.92x = 3,984.35 × 2,166.66
  4. Step 4: Simplify right side
    2,655.92x = 8,632,720.94
  5. Step 5: Solve for x
    x = 8,632,720.94/2,655.92
  6. Step 6: Final answer
    x = 3,250.38

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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.