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Finding the Fourth Proportional to 2,002.61, 3,003.92 and 615.94

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Solution

The fourth proportional to 2,002.61, 3,003.92 and 615.94 is: 923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.61 : 3,003.92 = 615.94 : x
  2. Step 2: Convert to fraction form
    2,002.61/3,003.92 = 615.94/x
  3. Step 3: Cross multiply
    2,002.61x = 3,003.92 × 615.94
  4. Step 4: Simplify right side
    2,002.61x = 1,850,226.21
  5. Step 5: Solve for x
    x = 1,850,226.21/2,002.61
  6. Step 6: Final answer
    x = 923.91

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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.