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Finding the Fourth Proportional to 2,372.62, 3,556.50 and 911.38

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Solution

The fourth proportional to 2,372.62, 3,556.50 and 911.38 is: 1,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.62 : 3,556.50 = 911.38 : x
  2. Step 2: Convert to fraction form
    2,372.62/3,556.50 = 911.38/x
  3. Step 3: Cross multiply
    2,372.62x = 3,556.50 × 911.38
  4. Step 4: Simplify right side
    2,372.62x = 3,241,322.97
  5. Step 5: Solve for x
    x = 3,241,322.97/2,372.62
  6. Step 6: Final answer
    x = 1,366.14

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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.