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Finding the Fourth Proportional to 4,511.34, 6,766.08 and 1,737.06

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Solution

The fourth proportional to 4,511.34, 6,766.08 and 1,737.06 is: 2,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.34 : 6,766.08 = 1,737.06 : x
  2. Step 2: Convert to fraction form
    4,511.34/6,766.08 = 1,737.06/x
  3. Step 3: Cross multiply
    4,511.34x = 6,766.08 × 1,737.06
  4. Step 4: Simplify right side
    4,511.34x = 11,753,086.92
  5. Step 5: Solve for x
    x = 11,753,086.92/4,511.34
  6. Step 6: Final answer
    x = 2,605.23

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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.