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Finding the Fourth Proportional to 1,982.70, 2,974.14 and 1,010.70

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Solution

The fourth proportional to 1,982.70, 2,974.14 and 1,010.70 is: 1,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.70 : 2,974.14 = 1,010.70 : x
  2. Step 2: Convert to fraction form
    1,982.70/2,974.14 = 1,010.70/x
  3. Step 3: Cross multiply
    1,982.70x = 2,974.14 × 1,010.70
  4. Step 4: Simplify right side
    1,982.70x = 3,005,963.30
  5. Step 5: Solve for x
    x = 3,005,963.30/1,982.70
  6. Step 6: Final answer
    x = 1,516.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.