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Finding the Fourth Proportional to 1,967.72, 2,951.56 and 797.71

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Solution

The fourth proportional to 1,967.72, 2,951.56 and 797.71 is: 1,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.72 : 2,951.56 = 797.71 : x
  2. Step 2: Convert to fraction form
    1,967.72/2,951.56 = 797.71/x
  3. Step 3: Cross multiply
    1,967.72x = 2,951.56 × 797.71
  4. Step 4: Simplify right side
    1,967.72x = 2,354,488.93
  5. Step 5: Solve for x
    x = 2,354,488.93/1,967.72
  6. Step 6: Final answer
    x = 1,196.56

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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.