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Finding the Fourth Proportional to 2,170.47, 2,996.98 and 2,004.62

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Solution

The fourth proportional to 2,170.47, 2,996.98 and 2,004.62 is: 2,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.47 : 2,996.98 = 2,004.62 : x
  2. Step 2: Convert to fraction form
    2,170.47/2,996.98 = 2,004.62/x
  3. Step 3: Cross multiply
    2,170.47x = 2,996.98 × 2,004.62
  4. Step 4: Simplify right side
    2,170.47x = 6,007,806.05
  5. Step 5: Solve for x
    x = 6,007,806.05/2,170.47
  6. Step 6: Final answer
    x = 2,767.97

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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.