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Finding the Fourth Proportional to 2,738.34, 4,103.73 and 2,372.22

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Solution

The fourth proportional to 2,738.34, 4,103.73 and 2,372.22 is: 3,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.34 : 4,103.73 = 2,372.22 : x
  2. Step 2: Convert to fraction form
    2,738.34/4,103.73 = 2,372.22/x
  3. Step 3: Cross multiply
    2,738.34x = 4,103.73 × 2,372.22
  4. Step 4: Simplify right side
    2,738.34x = 9,734,950.38
  5. Step 5: Solve for x
    x = 9,734,950.38/2,738.34
  6. Step 6: Final answer
    x = 3,555.06

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1.5x scale

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.