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Finding the Fourth Proportional to 3,209.25, 4,428.77 and 1,737.25

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Solution

The fourth proportional to 3,209.25, 4,428.77 and 1,737.25 is: 2,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.25 : 4,428.77 = 1,737.25 : x
  2. Step 2: Convert to fraction form
    3,209.25/4,428.77 = 1,737.25/x
  3. Step 3: Cross multiply
    3,209.25x = 4,428.77 × 1,737.25
  4. Step 4: Simplify right side
    3,209.25x = 7,693,872.00
  5. Step 5: Solve for x
    x = 7,693,872.00/3,209.25
  6. Step 6: Final answer
    x = 2,397.41

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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.