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Finding the Fourth Proportional to 4,513.43, 6,766.97 and 1,737.77

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Solution

The fourth proportional to 4,513.43, 6,766.97 and 1,737.77 is: 2,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.43 : 6,766.97 = 1,737.77 : x
  2. Step 2: Convert to fraction form
    4,513.43/6,766.97 = 1,737.77/x
  3. Step 3: Cross multiply
    4,513.43x = 6,766.97 × 1,737.77
  4. Step 4: Simplify right side
    4,513.43x = 11,759,428.77
  5. Step 5: Solve for x
    x = 11,759,428.77/4,513.43
  6. Step 6: Final answer
    x = 2,605.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.