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Finding the Fourth Proportional to 2,964.60, 4,443.66 and 2,231.82

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Solution

The fourth proportional to 2,964.60, 4,443.66 and 2,231.82 is: 3,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.60 : 4,443.66 = 2,231.82 : x
  2. Step 2: Convert to fraction form
    2,964.60/4,443.66 = 2,231.82/x
  3. Step 3: Cross multiply
    2,964.60x = 4,443.66 × 2,231.82
  4. Step 4: Simplify right side
    2,964.60x = 9,917,449.26
  5. Step 5: Solve for x
    x = 9,917,449.26/2,964.60
  6. Step 6: Final answer
    x = 3,345.29

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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.