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Finding the Fourth Proportional to 1,966.34, 2,949.44 and 667.82

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Solution

The fourth proportional to 1,966.34, 2,949.44 and 667.82 is: 1,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.34 : 2,949.44 = 667.82 : x
  2. Step 2: Convert to fraction form
    1,966.34/2,949.44 = 667.82/x
  3. Step 3: Cross multiply
    1,966.34x = 2,949.44 × 667.82
  4. Step 4: Simplify right side
    1,966.34x = 1,969,676.93
  5. Step 5: Solve for x
    x = 1,969,676.93/1,966.34
  6. Step 6: Final answer
    x = 1,001.70

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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.