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Finding the Fourth Proportional to 2,982.66, 4,113.18 and 2,228.10

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Solution

The fourth proportional to 2,982.66, 4,113.18 and 2,228.10 is: 3,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.66 : 4,113.18 = 2,228.10 : x
  2. Step 2: Convert to fraction form
    2,982.66/4,113.18 = 2,228.10/x
  3. Step 3: Cross multiply
    2,982.66x = 4,113.18 × 2,228.10
  4. Step 4: Simplify right side
    2,982.66x = 9,164,576.36
  5. Step 5: Solve for x
    x = 9,164,576.36/2,982.66
  6. Step 6: Final answer
    x = 3,072.62

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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.