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Finding the Fourth Proportional to 3,204.56, 4,422.42 and 1,807.28

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Solution

The fourth proportional to 3,204.56, 4,422.42 and 1,807.28 is: 2,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.56 : 4,422.42 = 1,807.28 : x
  2. Step 2: Convert to fraction form
    3,204.56/4,422.42 = 1,807.28/x
  3. Step 3: Cross multiply
    3,204.56x = 4,422.42 × 1,807.28
  4. Step 4: Simplify right side
    3,204.56x = 7,992,551.22
  5. Step 5: Solve for x
    x = 7,992,551.22/3,204.56
  6. Step 6: Final answer
    x = 2,494.12

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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.