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Finding the Fourth Proportional to 2,369.52, 3,553.74 and 908.01

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Solution

The fourth proportional to 2,369.52, 3,553.74 and 908.01 is: 1,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.52 : 3,553.74 = 908.01 : x
  2. Step 2: Convert to fraction form
    2,369.52/3,553.74 = 908.01/x
  3. Step 3: Cross multiply
    2,369.52x = 3,553.74 × 908.01
  4. Step 4: Simplify right side
    2,369.52x = 3,226,831.46
  5. Step 5: Solve for x
    x = 3,226,831.46/2,369.52
  6. Step 6: Final answer
    x = 1,361.81

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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.