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Finding the Fourth Proportional to 3,385.76, 4,671.95 and 1,969.25

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Solution

The fourth proportional to 3,385.76, 4,671.95 and 1,969.25 is: 2,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.76 : 4,671.95 = 1,969.25 : x
  2. Step 2: Convert to fraction form
    3,385.76/4,671.95 = 1,969.25/x
  3. Step 3: Cross multiply
    3,385.76x = 4,671.95 × 1,969.25
  4. Step 4: Simplify right side
    3,385.76x = 9,200,204.33
  5. Step 5: Solve for x
    x = 9,200,204.33/3,385.76
  6. Step 6: Final answer
    x = 2,717.33

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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.