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Finding the Fourth Proportional to 3,069.29, 4,234.43 and 1,742.82

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Solution

The fourth proportional to 3,069.29, 4,234.43 and 1,742.82 is: 2,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.29 : 4,234.43 = 1,742.82 : x
  2. Step 2: Convert to fraction form
    3,069.29/4,234.43 = 1,742.82/x
  3. Step 3: Cross multiply
    3,069.29x = 4,234.43 × 1,742.82
  4. Step 4: Simplify right side
    3,069.29x = 7,379,827.97
  5. Step 5: Solve for x
    x = 7,379,827.97/3,069.29
  6. Step 6: Final answer
    x = 2,404.41

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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.