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Finding the Fourth Proportional to 2,551.77, 3,828.26 and 908.46

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Solution

The fourth proportional to 2,551.77, 3,828.26 and 908.46 is: 1,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.77 : 3,828.26 = 908.46 : x
  2. Step 2: Convert to fraction form
    2,551.77/3,828.26 = 908.46/x
  3. Step 3: Cross multiply
    2,551.77x = 3,828.26 × 908.46
  4. Step 4: Simplify right side
    2,551.77x = 3,477,821.08
  5. Step 5: Solve for x
    x = 3,477,821.08/2,551.77
  6. Step 6: Final answer
    x = 1,362.91

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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.