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Finding the Fourth Proportional to 2,964.73, 4,447.55 and 1,016.47

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Solution

The fourth proportional to 2,964.73, 4,447.55 and 1,016.47 is: 1,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.73 : 4,447.55 = 1,016.47 : x
  2. Step 2: Convert to fraction form
    2,964.73/4,447.55 = 1,016.47/x
  3. Step 3: Cross multiply
    2,964.73x = 4,447.55 × 1,016.47
  4. Step 4: Simplify right side
    2,964.73x = 4,520,801.15
  5. Step 5: Solve for x
    x = 4,520,801.15/2,964.73
  6. Step 6: Final answer
    x = 1,524.86

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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.