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Finding the Fourth Proportional to 2,249.57, 3,372.57 and 1,474.40

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Solution

The fourth proportional to 2,249.57, 3,372.57 and 1,474.40 is: 2,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.57 : 3,372.57 = 1,474.40 : x
  2. Step 2: Convert to fraction form
    2,249.57/3,372.57 = 1,474.40/x
  3. Step 3: Cross multiply
    2,249.57x = 3,372.57 × 1,474.40
  4. Step 4: Simplify right side
    2,249.57x = 4,972,525.64
  5. Step 5: Solve for x
    x = 4,972,525.64/2,249.57
  6. Step 6: Final answer
    x = 2,210.43

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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.