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Finding the Fourth Proportional to 3,277.80, 4,524.66 and 1,952.64

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Solution

The fourth proportional to 3,277.80, 4,524.66 and 1,952.64 is: 2,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.80 : 4,524.66 = 1,952.64 : x
  2. Step 2: Convert to fraction form
    3,277.80/4,524.66 = 1,952.64/x
  3. Step 3: Cross multiply
    3,277.80x = 4,524.66 × 1,952.64
  4. Step 4: Simplify right side
    3,277.80x = 8,835,032.10
  5. Step 5: Solve for x
    x = 8,835,032.10/3,277.80
  6. Step 6: Final answer
    x = 2,695.42

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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.