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Finding the Fourth Proportional to 2,967.32, 4,447.72 and 1,998.56

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Solution

The fourth proportional to 2,967.32, 4,447.72 and 1,998.56 is: 2,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.32 : 4,447.72 = 1,998.56 : x
  2. Step 2: Convert to fraction form
    2,967.32/4,447.72 = 1,998.56/x
  3. Step 3: Cross multiply
    2,967.32x = 4,447.72 × 1,998.56
  4. Step 4: Simplify right side
    2,967.32x = 8,889,035.28
  5. Step 5: Solve for x
    x = 8,889,035.28/2,967.32
  6. Step 6: Final answer
    x = 2,995.64

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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.