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Finding the Fourth Proportional to 2,550.17, 3,824.10 and 906.27

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Solution

The fourth proportional to 2,550.17, 3,824.10 and 906.27 is: 1,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.17 : 3,824.10 = 906.27 : x
  2. Step 2: Convert to fraction form
    2,550.17/3,824.10 = 906.27/x
  3. Step 3: Cross multiply
    2,550.17x = 3,824.10 × 906.27
  4. Step 4: Simplify right side
    2,550.17x = 3,465,667.11
  5. Step 5: Solve for x
    x = 3,465,667.11/2,550.17
  6. Step 6: Final answer
    x = 1,359.00

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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.