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Finding the Fourth Proportional to 3,430.73, 4,732.67 and 2,169.66

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Solution

The fourth proportional to 3,430.73, 4,732.67 and 2,169.66 is: 2,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.73 : 4,732.67 = 2,169.66 : x
  2. Step 2: Convert to fraction form
    3,430.73/4,732.67 = 2,169.66/x
  3. Step 3: Cross multiply
    3,430.73x = 4,732.67 × 2,169.66
  4. Step 4: Simplify right side
    3,430.73x = 10,268,273.94
  5. Step 5: Solve for x
    x = 10,268,273.94/3,430.73
  6. Step 6: Final answer
    x = 2,993.03

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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.