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Finding the Fourth Proportional to 2,553.40, 3,833.70 and 2,006.20

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Solution

The fourth proportional to 2,553.40, 3,833.70 and 2,006.20 is: 3,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.40 : 3,833.70 = 2,006.20 : x
  2. Step 2: Convert to fraction form
    2,553.40/3,833.70 = 2,006.20/x
  3. Step 3: Cross multiply
    2,553.40x = 3,833.70 × 2,006.20
  4. Step 4: Simplify right side
    2,553.40x = 7,691,168.94
  5. Step 5: Solve for x
    x = 7,691,168.94/2,553.40
  6. Step 6: Final answer
    x = 3,012.13

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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.