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Finding the Fourth Proportional to 3,385.27, 4,671.68 and 1,969.80

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Solution

The fourth proportional to 3,385.27, 4,671.68 and 1,969.80 is: 2,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.27 : 4,671.68 = 1,969.80 : x
  2. Step 2: Convert to fraction form
    3,385.27/4,671.68 = 1,969.80/x
  3. Step 3: Cross multiply
    3,385.27x = 4,671.68 × 1,969.80
  4. Step 4: Simplify right side
    3,385.27x = 9,202,275.26
  5. Step 5: Solve for x
    x = 9,202,275.26/3,385.27
  6. Step 6: Final answer
    x = 2,718.33

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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.