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Finding the Fourth Proportional to 4,065.90, 6,099.21 and 1,693.46

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Solution

The fourth proportional to 4,065.90, 6,099.21 and 1,693.46 is: 2,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.90 : 6,099.21 = 1,693.46 : x
  2. Step 2: Convert to fraction form
    4,065.90/6,099.21 = 1,693.46/x
  3. Step 3: Cross multiply
    4,065.90x = 6,099.21 × 1,693.46
  4. Step 4: Simplify right side
    4,065.90x = 10,328,737.67
  5. Step 5: Solve for x
    x = 10,328,737.67/4,065.90
  6. Step 6: Final answer
    x = 2,540.33

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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.