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Finding the Fourth Proportional to 2,164.97, 3,245.97 and 778.28

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Solution

The fourth proportional to 2,164.97, 3,245.97 and 778.28 is: 1,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.97 : 3,245.97 = 778.28 : x
  2. Step 2: Convert to fraction form
    2,164.97/3,245.97 = 778.28/x
  3. Step 3: Cross multiply
    2,164.97x = 3,245.97 × 778.28
  4. Step 4: Simplify right side
    2,164.97x = 2,526,273.53
  5. Step 5: Solve for x
    x = 2,526,273.53/2,164.97
  6. Step 6: Final answer
    x = 1,166.89

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1.5x scale

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.