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Finding the Fourth Proportional to 1,982.50, 2,991.17 and 1,966.10

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Solution

The fourth proportional to 1,982.50, 2,991.17 and 1,966.10 is: 2,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.50 : 2,991.17 = 1,966.10 : x
  2. Step 2: Convert to fraction form
    1,982.50/2,991.17 = 1,966.10/x
  3. Step 3: Cross multiply
    1,982.50x = 2,991.17 × 1,966.10
  4. Step 4: Simplify right side
    1,982.50x = 5,880,929.30
  5. Step 5: Solve for x
    x = 5,880,929.30/1,982.50
  6. Step 6: Final answer
    x = 2,966.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.