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Finding the Fourth Proportional to 2,194.23, 3,304.22 and 1,582.17

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Solution

The fourth proportional to 2,194.23, 3,304.22 and 1,582.17 is: 2,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.23 : 3,304.22 = 1,582.17 : x
  2. Step 2: Convert to fraction form
    2,194.23/3,304.22 = 1,582.17/x
  3. Step 3: Cross multiply
    2,194.23x = 3,304.22 × 1,582.17
  4. Step 4: Simplify right side
    2,194.23x = 5,227,829.85
  5. Step 5: Solve for x
    x = 5,227,829.85/2,194.23
  6. Step 6: Final answer
    x = 2,382.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.