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Finding the Fourth Proportional to 2,122.98, 3,184.62 and 562.97

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Solution

The fourth proportional to 2,122.98, 3,184.62 and 562.97 is: 844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.98 : 3,184.62 = 562.97 : x
  2. Step 2: Convert to fraction form
    2,122.98/3,184.62 = 562.97/x
  3. Step 3: Cross multiply
    2,122.98x = 3,184.62 × 562.97
  4. Step 4: Simplify right side
    2,122.98x = 1,792,826.78
  5. Step 5: Solve for x
    x = 1,792,826.78/2,122.98
  6. Step 6: Final answer
    x = 844.49

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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.