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Finding the Fourth Proportional to 2,964.32, 4,446.53 and 884.37

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Solution

The fourth proportional to 2,964.32, 4,446.53 and 884.37 is: 1,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.32 : 4,446.53 = 884.37 : x
  2. Step 2: Convert to fraction form
    2,964.32/4,446.53 = 884.37/x
  3. Step 3: Cross multiply
    2,964.32x = 4,446.53 × 884.37
  4. Step 4: Simplify right side
    2,964.32x = 3,932,369.23
  5. Step 5: Solve for x
    x = 3,932,369.23/2,964.32
  6. Step 6: Final answer
    x = 1,326.56

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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.