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Finding the Fourth Proportional to 2,168.47, 2,994.22 and 2,002.62

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Solution

The fourth proportional to 2,168.47, 2,994.22 and 2,002.62 is: 2,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.47 : 2,994.22 = 2,002.62 : x
  2. Step 2: Convert to fraction form
    2,168.47/2,994.22 = 2,002.62/x
  3. Step 3: Cross multiply
    2,168.47x = 2,994.22 × 2,002.62
  4. Step 4: Simplify right side
    2,168.47x = 5,996,287.32
  5. Step 5: Solve for x
    x = 5,996,287.32/2,168.47
  6. Step 6: Final answer
    x = 2,765.21

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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.