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Finding the Fourth Proportional to 3,046.14, 4,205.49 and 2,000.01

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Solution

The fourth proportional to 3,046.14, 4,205.49 and 2,000.01 is: 2,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.14 : 4,205.49 = 2,000.01 : x
  2. Step 2: Convert to fraction form
    3,046.14/4,205.49 = 2,000.01/x
  3. Step 3: Cross multiply
    3,046.14x = 4,205.49 × 2,000.01
  4. Step 4: Simplify right side
    3,046.14x = 8,411,022.05
  5. Step 5: Solve for x
    x = 8,411,022.05/3,046.14
  6. Step 6: Final answer
    x = 2,761.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.