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Finding the Fourth Proportional to 1,967.42, 2,951.11 and 669.80

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Solution

The fourth proportional to 1,967.42, 2,951.11 and 669.80 is: 1,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.42 : 2,951.11 = 669.80 : x
  2. Step 2: Convert to fraction form
    1,967.42/2,951.11 = 669.80/x
  3. Step 3: Cross multiply
    1,967.42x = 2,951.11 × 669.80
  4. Step 4: Simplify right side
    1,967.42x = 1,976,653.48
  5. Step 5: Solve for x
    x = 1,976,653.48/1,967.42
  6. Step 6: Final answer
    x = 1,004.69

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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.