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Finding the Fourth Proportional to 2,552, 3,827.76 and 908.48

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Solution

The fourth proportional to 2,552, 3,827.76 and 908.48 is: 1,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552 : 3,827.76 = 908.48 : x
  2. Step 2: Convert to fraction form
    2,552/3,827.76 = 908.48/x
  3. Step 3: Cross multiply
    2,552x = 3,827.76 × 908.48
  4. Step 4: Simplify right side
    2,552x = 3,477,443.40
  5. Step 5: Solve for x
    x = 3,477,443.40/2,552
  6. Step 6: Final answer
    x = 1,362.63

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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.