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Finding the Fourth Proportional to 2,194.92, 3,288.06 and 1,023.30

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Solution

The fourth proportional to 2,194.92, 3,288.06 and 1,023.30 is: 1,532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.92 : 3,288.06 = 1,023.30 : x
  2. Step 2: Convert to fraction form
    2,194.92/3,288.06 = 1,023.30/x
  3. Step 3: Cross multiply
    2,194.92x = 3,288.06 × 1,023.30
  4. Step 4: Simplify right side
    2,194.92x = 3,364,671.80
  5. Step 5: Solve for x
    x = 3,364,671.80/2,194.92
  6. Step 6: Final answer
    x = 1,532.94

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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.