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Finding the Fourth Proportional to 2,160.46, 2,982.86 and 1,662.22

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Solution

The fourth proportional to 2,160.46, 2,982.86 and 1,662.22 is: 2,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.46 : 2,982.86 = 1,662.22 : x
  2. Step 2: Convert to fraction form
    2,160.46/2,982.86 = 1,662.22/x
  3. Step 3: Cross multiply
    2,160.46x = 2,982.86 × 1,662.22
  4. Step 4: Simplify right side
    2,160.46x = 4,958,158.79
  5. Step 5: Solve for x
    x = 4,958,158.79/2,160.46
  6. Step 6: Final answer
    x = 2,294.96

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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.