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Finding the Fourth Proportional to 3,278.64, 4,919.20 and 1,331.36

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Solution

The fourth proportional to 3,278.64, 4,919.20 and 1,331.36 is: 1,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.64 : 4,919.20 = 1,331.36 : x
  2. Step 2: Convert to fraction form
    3,278.64/4,919.20 = 1,331.36/x
  3. Step 3: Cross multiply
    3,278.64x = 4,919.20 × 1,331.36
  4. Step 4: Simplify right side
    3,278.64x = 6,549,226.11
  5. Step 5: Solve for x
    x = 6,549,226.11/3,278.64
  6. Step 6: Final answer
    x = 1,997.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.