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Finding the Fourth Proportional to 2,192.42, 3,288.93 and 805.43

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Solution

The fourth proportional to 2,192.42, 3,288.93 and 805.43 is: 1,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.42 : 3,288.93 = 805.43 : x
  2. Step 2: Convert to fraction form
    2,192.42/3,288.93 = 805.43/x
  3. Step 3: Cross multiply
    2,192.42x = 3,288.93 × 805.43
  4. Step 4: Simplify right side
    2,192.42x = 2,649,002.89
  5. Step 5: Solve for x
    x = 2,649,002.89/2,192.42
  6. Step 6: Final answer
    x = 1,208.26

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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.