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Finding the Fourth Proportional to 2,368.44, 3,553.20 and 908.28

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Solution

The fourth proportional to 2,368.44, 3,553.20 and 908.28 is: 1,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.44 : 3,553.20 = 908.28 : x
  2. Step 2: Convert to fraction form
    2,368.44/3,553.20 = 908.28/x
  3. Step 3: Cross multiply
    2,368.44x = 3,553.20 × 908.28
  4. Step 4: Simplify right side
    2,368.44x = 3,227,300.50
  5. Step 5: Solve for x
    x = 3,227,300.50/2,368.44
  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.