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Finding the Fourth Proportional to 3,092.16, 4,640.28 and 1,632.33

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Solution

The fourth proportional to 3,092.16, 4,640.28 and 1,632.33 is: 2,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.16 : 4,640.28 = 1,632.33 : x
  2. Step 2: Convert to fraction form
    3,092.16/4,640.28 = 1,632.33/x
  3. Step 3: Cross multiply
    3,092.16x = 4,640.28 × 1,632.33
  4. Step 4: Simplify right side
    3,092.16x = 7,574,468.25
  5. Step 5: Solve for x
    x = 7,574,468.25/3,092.16
  6. Step 6: Final answer
    x = 2,449.57

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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.