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Finding the Fourth Proportional to 3,385.14, 4,671.07 and 1,969.21

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Solution

The fourth proportional to 3,385.14, 4,671.07 and 1,969.21 is: 2,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.14 : 4,671.07 = 1,969.21 : x
  2. Step 2: Convert to fraction form
    3,385.14/4,671.07 = 1,969.21/x
  3. Step 3: Cross multiply
    3,385.14x = 4,671.07 × 1,969.21
  4. Step 4: Simplify right side
    3,385.14x = 9,198,318.67
  5. Step 5: Solve for x
    x = 9,198,318.67/3,385.14
  6. Step 6: Final answer
    x = 2,717.26

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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.