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Finding the Fourth Proportional to 3,334.50, 4,596.26 and 2,257.43

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Solution

The fourth proportional to 3,334.50, 4,596.26 and 2,257.43 is: 3,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.50 : 4,596.26 = 2,257.43 : x
  2. Step 2: Convert to fraction form
    3,334.50/4,596.26 = 2,257.43/x
  3. Step 3: Cross multiply
    3,334.50x = 4,596.26 × 2,257.43
  4. Step 4: Simplify right side
    3,334.50x = 10,375,749.80
  5. Step 5: Solve for x
    x = 10,375,749.80/3,334.50
  6. Step 6: Final answer
    x = 3,111.64

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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.