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Finding the Fourth Proportional to 2,092.22, 3,138.30 and 532.22

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Solution

The fourth proportional to 2,092.22, 3,138.30 and 532.22 is: 798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.22 : 3,138.30 = 532.22 : x
  2. Step 2: Convert to fraction form
    2,092.22/3,138.30 = 532.22/x
  3. Step 3: Cross multiply
    2,092.22x = 3,138.30 × 532.22
  4. Step 4: Simplify right side
    2,092.22x = 1,670,266.03
  5. Step 5: Solve for x
    x = 1,670,266.03/2,092.22
  6. Step 6: Final answer
    x = 798.32

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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.