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Finding the Fourth Proportional to 3,411.40, 5,111.70 and 2,255.80

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Solution

The fourth proportional to 3,411.40, 5,111.70 and 2,255.80 is: 3,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.40 : 5,111.70 = 2,255.80 : x
  2. Step 2: Convert to fraction form
    3,411.40/5,111.70 = 2,255.80/x
  3. Step 3: Cross multiply
    3,411.40x = 5,111.70 × 2,255.80
  4. Step 4: Simplify right side
    3,411.40x = 11,530,972.86
  5. Step 5: Solve for x
    x = 11,530,972.86/3,411.40
  6. Step 6: Final answer
    x = 3,380.13

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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.