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Finding the Fourth Proportional to 2,002.27, 3,003.48 and 615.60

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Solution

The fourth proportional to 2,002.27, 3,003.48 and 615.60 is: 923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.27 : 3,003.48 = 615.60 : x
  2. Step 2: Convert to fraction form
    2,002.27/3,003.48 = 615.60/x
  3. Step 3: Cross multiply
    2,002.27x = 3,003.48 × 615.60
  4. Step 4: Simplify right side
    2,002.27x = 1,848,942.29
  5. Step 5: Solve for x
    x = 1,848,942.29/2,002.27
  6. Step 6: Final answer
    x = 923.42

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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.