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Finding the Fourth Proportional to 2,966.92, 4,442.18 and 2,234.27

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Solution

The fourth proportional to 2,966.92, 4,442.18 and 2,234.27 is: 3,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.92 : 4,442.18 = 2,234.27 : x
  2. Step 2: Convert to fraction form
    2,966.92/4,442.18 = 2,234.27/x
  3. Step 3: Cross multiply
    2,966.92x = 4,442.18 × 2,234.27
  4. Step 4: Simplify right side
    2,966.92x = 9,925,029.44
  5. Step 5: Solve for x
    x = 9,925,029.44/2,966.92
  6. Step 6: Final answer
    x = 3,345.23

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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.