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Finding the Fourth Proportional to 2,002.23, 3,003.44 and 615.47

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Solution

The fourth proportional to 2,002.23, 3,003.44 and 615.47 is: 923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.23 : 3,003.44 = 615.47 : x
  2. Step 2: Convert to fraction form
    2,002.23/3,003.44 = 615.47/x
  3. Step 3: Cross multiply
    2,002.23x = 3,003.44 × 615.47
  4. Step 4: Simplify right side
    2,002.23x = 1,848,509.12
  5. Step 5: Solve for x
    x = 1,848,509.12/2,002.23
  6. Step 6: Final answer
    x = 923.23

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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.