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Finding the Fourth Proportional to 1,892.89, 2,837.71 and 660.12

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Solution

The fourth proportional to 1,892.89, 2,837.71 and 660.12 is: 989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.89 : 2,837.71 = 660.12 : x
  2. Step 2: Convert to fraction form
    1,892.89/2,837.71 = 660.12/x
  3. Step 3: Cross multiply
    1,892.89x = 2,837.71 × 660.12
  4. Step 4: Simplify right side
    1,892.89x = 1,873,241.40
  5. Step 5: Solve for x
    x = 1,873,241.40/1,892.89
  6. Step 6: Final answer
    x = 989.62

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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.