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Finding the Fourth Proportional to 3,098.36, 4,649.82 and 2,000.12

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Solution

The fourth proportional to 3,098.36, 4,649.82 and 2,000.12 is: 3,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.36 : 4,649.82 = 2,000.12 : x
  2. Step 2: Convert to fraction form
    3,098.36/4,649.82 = 2,000.12/x
  3. Step 3: Cross multiply
    3,098.36x = 4,649.82 × 2,000.12
  4. Step 4: Simplify right side
    3,098.36x = 9,300,197.98
  5. Step 5: Solve for x
    x = 9,300,197.98/3,098.36
  6. Step 6: Final answer
    x = 3,001.65

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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.