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Finding the Fourth Proportional to 3,292.77, 4,543.86 and 1,965.99

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Solution

The fourth proportional to 3,292.77, 4,543.86 and 1,965.99 is: 2,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.77 : 4,543.86 = 1,965.99 : x
  2. Step 2: Convert to fraction form
    3,292.77/4,543.86 = 1,965.99/x
  3. Step 3: Cross multiply
    3,292.77x = 4,543.86 × 1,965.99
  4. Step 4: Simplify right side
    3,292.77x = 8,933,207.73
  5. Step 5: Solve for x
    x = 8,933,207.73/3,292.77
  6. Step 6: Final answer
    x = 2,712.97

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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.