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Finding the Fourth Proportional to 1,966.32, 2,949.69 and 667.89

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Solution

The fourth proportional to 1,966.32, 2,949.69 and 667.89 is: 1,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.32 : 2,949.69 = 667.89 : x
  2. Step 2: Convert to fraction form
    1,966.32/2,949.69 = 667.89/x
  3. Step 3: Cross multiply
    1,966.32x = 2,949.69 × 667.89
  4. Step 4: Simplify right side
    1,966.32x = 1,970,068.45
  5. Step 5: Solve for x
    x = 1,970,068.45/1,966.32
  6. Step 6: Final answer
    x = 1,001.91

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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.