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Finding the Fourth Proportional to 2,006.02, 3,007.87 and 618.98

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Solution

The fourth proportional to 2,006.02, 3,007.87 and 618.98 is: 928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.02 : 3,007.87 = 618.98 : x
  2. Step 2: Convert to fraction form
    2,006.02/3,007.87 = 618.98/x
  3. Step 3: Cross multiply
    2,006.02x = 3,007.87 × 618.98
  4. Step 4: Simplify right side
    2,006.02x = 1,861,821.91
  5. Step 5: Solve for x
    x = 1,861,821.91/2,006.02
  6. Step 6: Final answer
    x = 928.12

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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.