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Finding the Fourth Proportional to 2,447.64, 3,382.02 and 1,927.62

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Solution

The fourth proportional to 2,447.64, 3,382.02 and 1,927.62 is: 2,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.64 : 3,382.02 = 1,927.62 : x
  2. Step 2: Convert to fraction form
    2,447.64/3,382.02 = 1,927.62/x
  3. Step 3: Cross multiply
    2,447.64x = 3,382.02 × 1,927.62
  4. Step 4: Simplify right side
    2,447.64x = 6,519,249.39
  5. Step 5: Solve for x
    x = 6,519,249.39/2,447.64
  6. Step 6: Final answer
    x = 2,663.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.