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Finding the Fourth Proportional to 2,002.47, 3,003.32 and 615.62

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Solution

The fourth proportional to 2,002.47, 3,003.32 and 615.62 is: 923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.47 : 3,003.32 = 615.62 : x
  2. Step 2: Convert to fraction form
    2,002.47/3,003.32 = 615.62/x
  3. Step 3: Cross multiply
    2,002.47x = 3,003.32 × 615.62
  4. Step 4: Simplify right side
    2,002.47x = 1,848,885.76
  5. Step 5: Solve for x
    x = 1,848,885.76/2,002.47
  6. Step 6: Final answer
    x = 923.30

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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.