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Finding the Fourth Proportional to 2,194.85, 3,305.21 and 1,582.86

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Solution

The fourth proportional to 2,194.85, 3,305.21 and 1,582.86 is: 2,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.85 : 3,305.21 = 1,582.86 : x
  2. Step 2: Convert to fraction form
    2,194.85/3,305.21 = 1,582.86/x
  3. Step 3: Cross multiply
    2,194.85x = 3,305.21 × 1,582.86
  4. Step 4: Simplify right side
    2,194.85x = 5,231,689.18
  5. Step 5: Solve for x
    x = 5,231,689.18/2,194.85
  6. Step 6: Final answer
    x = 2,383.62

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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.