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Finding the Fourth Proportional to 2,553.81, 3,833.40 and 2,263.17

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Solution

The fourth proportional to 2,553.81, 3,833.40 and 2,263.17 is: 3,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.81 : 3,833.40 = 2,263.17 : x
  2. Step 2: Convert to fraction form
    2,553.81/3,833.40 = 2,263.17/x
  3. Step 3: Cross multiply
    2,553.81x = 3,833.40 × 2,263.17
  4. Step 4: Simplify right side
    2,553.81x = 8,675,650.25
  5. Step 5: Solve for x
    x = 8,675,650.25/2,553.81
  6. Step 6: Final answer
    x = 3,397.14

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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.