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Finding the Fourth Proportional to 2,162.48, 2,982.62 and 1,602.97

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Solution

The fourth proportional to 2,162.48, 2,982.62 and 1,602.97 is: 2,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.48 : 2,982.62 = 1,602.97 : x
  2. Step 2: Convert to fraction form
    2,162.48/2,982.62 = 1,602.97/x
  3. Step 3: Cross multiply
    2,162.48x = 2,982.62 × 1,602.97
  4. Step 4: Simplify right side
    2,162.48x = 4,781,046.93
  5. Step 5: Solve for x
    x = 4,781,046.93/2,162.48
  6. Step 6: Final answer
    x = 2,210.91

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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.