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Finding the Fourth Proportional to 3,278.66, 4,524.24 and 1,952.14

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Solution

The fourth proportional to 3,278.66, 4,524.24 and 1,952.14 is: 2,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.66 : 4,524.24 = 1,952.14 : x
  2. Step 2: Convert to fraction form
    3,278.66/4,524.24 = 1,952.14/x
  3. Step 3: Cross multiply
    3,278.66x = 4,524.24 × 1,952.14
  4. Step 4: Simplify right side
    3,278.66x = 8,831,949.87
  5. Step 5: Solve for x
    x = 8,831,949.87/3,278.66
  6. Step 6: Final answer
    x = 2,693.77

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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.