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Finding the Fourth Proportional to 2,092.03, 3,138.04 and 532.15

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Solution

The fourth proportional to 2,092.03, 3,138.04 and 532.15 is: 798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.03 : 3,138.04 = 532.15 : x
  2. Step 2: Convert to fraction form
    2,092.03/3,138.04 = 532.15/x
  3. Step 3: Cross multiply
    2,092.03x = 3,138.04 × 532.15
  4. Step 4: Simplify right side
    2,092.03x = 1,669,907.99
  5. Step 5: Solve for x
    x = 1,669,907.99/2,092.03
  6. Step 6: Final answer
    x = 798.22

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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.