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Finding the Fourth Proportional to 2,499.57, 3,751.22 and 941.11

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Solution

The fourth proportional to 2,499.57, 3,751.22 and 941.11 is: 1,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.57 : 3,751.22 = 941.11 : x
  2. Step 2: Convert to fraction form
    2,499.57/3,751.22 = 941.11/x
  3. Step 3: Cross multiply
    2,499.57x = 3,751.22 × 941.11
  4. Step 4: Simplify right side
    2,499.57x = 3,530,305.95
  5. Step 5: Solve for x
    x = 3,530,305.95/2,499.57
  6. Step 6: Final answer
    x = 1,412.36

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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.