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Finding the Fourth Proportional to 3,278.20, 4,910.10 and 1,737.40

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Solution

The fourth proportional to 3,278.20, 4,910.10 and 1,737.40 is: 2,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.20 : 4,910.10 = 1,737.40 : x
  2. Step 2: Convert to fraction form
    3,278.20/4,910.10 = 1,737.40/x
  3. Step 3: Cross multiply
    3,278.20x = 4,910.10 × 1,737.40
  4. Step 4: Simplify right side
    3,278.20x = 8,530,807.74
  5. Step 5: Solve for x
    x = 8,530,807.74/3,278.20
  6. Step 6: Final answer
    x = 2,602.28

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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.