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Finding the Fourth Proportional to 3,411.80, 5,117.46 and 1,331.42

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Solution

The fourth proportional to 3,411.80, 5,117.46 and 1,331.42 is: 1,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.80 : 5,117.46 = 1,331.42 : x
  2. Step 2: Convert to fraction form
    3,411.80/5,117.46 = 1,331.42/x
  3. Step 3: Cross multiply
    3,411.80x = 5,117.46 × 1,331.42
  4. Step 4: Simplify right side
    3,411.80x = 6,813,458.01
  5. Step 5: Solve for x
    x = 6,813,458.01/3,411.80
  6. Step 6: Final answer
    x = 1,997.03

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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.