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Finding the Fourth Proportional to 3,292.64, 4,543.79 and 1,966.09

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Solution

The fourth proportional to 3,292.64, 4,543.79 and 1,966.09 is: 2,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.64 : 4,543.79 = 1,966.09 : x
  2. Step 2: Convert to fraction form
    3,292.64/4,543.79 = 1,966.09/x
  3. Step 3: Cross multiply
    3,292.64x = 4,543.79 × 1,966.09
  4. Step 4: Simplify right side
    3,292.64x = 8,933,500.08
  5. Step 5: Solve for x
    x = 8,933,500.08/3,292.64
  6. Step 6: Final answer
    x = 2,713.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.