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Finding the Fourth Proportional to 3,098.44, 4,650.09 and 2,002.51

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Solution

The fourth proportional to 3,098.44, 4,650.09 and 2,002.51 is: 3,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.44 : 4,650.09 = 2,002.51 : x
  2. Step 2: Convert to fraction form
    3,098.44/4,650.09 = 2,002.51/x
  3. Step 3: Cross multiply
    3,098.44x = 4,650.09 × 2,002.51
  4. Step 4: Simplify right side
    3,098.44x = 9,311,851.73
  5. Step 5: Solve for x
    x = 9,311,851.73/3,098.44
  6. Step 6: Final answer
    x = 3,005.34

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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.