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Finding the Fourth Proportional to 1,967.32, 2,951.19 and 668.89

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Solution

The fourth proportional to 1,967.32, 2,951.19 and 668.89 is: 1,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.32 : 2,951.19 = 668.89 : x
  2. Step 2: Convert to fraction form
    1,967.32/2,951.19 = 668.89/x
  3. Step 3: Cross multiply
    1,967.32x = 2,951.19 × 668.89
  4. Step 4: Simplify right side
    1,967.32x = 1,974,021.48
  5. Step 5: Solve for x
    x = 1,974,021.48/1,967.32
  6. Step 6: Final answer
    x = 1,003.41

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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.