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Finding the Fourth Proportional to 3,278.14, 4,917.12 and 1,330.28

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Solution

The fourth proportional to 3,278.14, 4,917.12 and 1,330.28 is: 1,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.14 : 4,917.12 = 1,330.28 : x
  2. Step 2: Convert to fraction form
    3,278.14/4,917.12 = 1,330.28/x
  3. Step 3: Cross multiply
    3,278.14x = 4,917.12 × 1,330.28
  4. Step 4: Simplify right side
    3,278.14x = 6,541,146.39
  5. Step 5: Solve for x
    x = 6,541,146.39/3,278.14
  6. Step 6: Final answer
    x = 1,995.38

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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.