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Finding the Fourth Proportional to 2,662.05, 3,994.95 and 997.61

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Solution

The fourth proportional to 2,662.05, 3,994.95 and 997.61 is: 1,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.05 : 3,994.95 = 997.61 : x
  2. Step 2: Convert to fraction form
    2,662.05/3,994.95 = 997.61/x
  3. Step 3: Cross multiply
    2,662.05x = 3,994.95 × 997.61
  4. Step 4: Simplify right side
    2,662.05x = 3,985,382.09
  5. Step 5: Solve for x
    x = 3,985,382.09/2,662.05
  6. Step 6: Final answer
    x = 1,497.11

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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.