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Finding the Fourth Proportional to 2,967.36, 4,442.83 and 2,234.71

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Solution

The fourth proportional to 2,967.36, 4,442.83 and 2,234.71 is: 3,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.36 : 4,442.83 = 2,234.71 : x
  2. Step 2: Convert to fraction form
    2,967.36/4,442.83 = 2,234.71/x
  3. Step 3: Cross multiply
    2,967.36x = 4,442.83 × 2,234.71
  4. Step 4: Simplify right side
    2,967.36x = 9,928,436.63
  5. Step 5: Solve for x
    x = 9,928,436.63/2,967.36
  6. Step 6: Final answer
    x = 3,345.88

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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.