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Finding the Fourth Proportional to 2,551.43, 3,827.14 and 908.04

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Solution

The fourth proportional to 2,551.43, 3,827.14 and 908.04 is: 1,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.43 : 3,827.14 = 908.04 : x
  2. Step 2: Convert to fraction form
    2,551.43/3,827.14 = 908.04/x
  3. Step 3: Cross multiply
    2,551.43x = 3,827.14 × 908.04
  4. Step 4: Simplify right side
    2,551.43x = 3,475,193.94
  5. Step 5: Solve for x
    x = 3,475,193.94/2,551.43
  6. Step 6: Final answer
    x = 1,362.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.