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Finding the Fourth Proportional to 3,278.08, 4,917.03 and 812.85

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Solution

The fourth proportional to 3,278.08, 4,917.03 and 812.85 is: 1,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.08 : 4,917.03 = 812.85 : x
  2. Step 2: Convert to fraction form
    3,278.08/4,917.03 = 812.85/x
  3. Step 3: Cross multiply
    3,278.08x = 4,917.03 × 812.85
  4. Step 4: Simplify right side
    3,278.08x = 3,996,807.84
  5. Step 5: Solve for x
    x = 3,996,807.84/3,278.08
  6. Step 6: Final answer
    x = 1,219.25

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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.