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Finding the Fourth Proportional to 2,249.37, 3,103.65 and 1,409.67

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Solution

The fourth proportional to 2,249.37, 3,103.65 and 1,409.67 is: 1,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.37 : 3,103.65 = 1,409.67 : x
  2. Step 2: Convert to fraction form
    2,249.37/3,103.65 = 1,409.67/x
  3. Step 3: Cross multiply
    2,249.37x = 3,103.65 × 1,409.67
  4. Step 4: Simplify right side
    2,249.37x = 4,375,122.30
  5. Step 5: Solve for x
    x = 4,375,122.30/2,249.37
  6. Step 6: Final answer
    x = 1,945.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.