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Finding the Fourth Proportional to 3,160.90, 4,740.66 and 2,233.82

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Solution

The fourth proportional to 3,160.90, 4,740.66 and 2,233.82 is: 3,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.90 : 4,740.66 = 2,233.82 : x
  2. Step 2: Convert to fraction form
    3,160.90/4,740.66 = 2,233.82/x
  3. Step 3: Cross multiply
    3,160.90x = 4,740.66 × 2,233.82
  4. Step 4: Simplify right side
    3,160.90x = 10,589,769.06
  5. Step 5: Solve for x
    x = 10,589,769.06/3,160.90
  6. Step 6: Final answer
    x = 3,350.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.