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Finding the Fourth Proportional to 1,966.13, 2,949.19 and 667.56

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Solution

The fourth proportional to 1,966.13, 2,949.19 and 667.56 is: 1,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.13 : 2,949.19 = 667.56 : x
  2. Step 2: Convert to fraction form
    1,966.13/2,949.19 = 667.56/x
  3. Step 3: Cross multiply
    1,966.13x = 2,949.19 × 667.56
  4. Step 4: Simplify right side
    1,966.13x = 1,968,761.28
  5. Step 5: Solve for x
    x = 1,968,761.28/1,966.13
  6. Step 6: Final answer
    x = 1,001.34

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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.