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Finding the Fourth Proportional to 2,279.44, 3,415.11 and 817.66

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Solution

The fourth proportional to 2,279.44, 3,415.11 and 817.66 is: 1,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.44 : 3,415.11 = 817.66 : x
  2. Step 2: Convert to fraction form
    2,279.44/3,415.11 = 817.66/x
  3. Step 3: Cross multiply
    2,279.44x = 3,415.11 × 817.66
  4. Step 4: Simplify right side
    2,279.44x = 2,792,398.84
  5. Step 5: Solve for x
    x = 2,792,398.84/2,279.44
  6. Step 6: Final answer
    x = 1,225.04

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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.