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Finding the Fourth Proportional to 2,372.36, 3,556.86 and 911.24

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Solution

The fourth proportional to 2,372.36, 3,556.86 and 911.24 is: 1,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.36 : 3,556.86 = 911.24 : x
  2. Step 2: Convert to fraction form
    2,372.36/3,556.86 = 911.24/x
  3. Step 3: Cross multiply
    2,372.36x = 3,556.86 × 911.24
  4. Step 4: Simplify right side
    2,372.36x = 3,241,153.11
  5. Step 5: Solve for x
    x = 3,241,153.11/2,372.36
  6. Step 6: Final answer
    x = 1,366.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.