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Finding the Fourth Proportional to 2,002.28, 3,003.42 and 615.59

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Solution

The fourth proportional to 2,002.28, 3,003.42 and 615.59 is: 923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.28 : 3,003.42 = 615.59 : x
  2. Step 2: Convert to fraction form
    2,002.28/3,003.42 = 615.59/x
  3. Step 3: Cross multiply
    2,002.28x = 3,003.42 × 615.59
  4. Step 4: Simplify right side
    2,002.28x = 1,848,860.30
  5. Step 5: Solve for x
    x = 1,848,860.30/2,002.28
  6. Step 6: Final answer
    x = 923.38

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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.