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Finding the Fourth Proportional to 3,026.69, 4,540.27 and 835.41

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Solution

The fourth proportional to 3,026.69, 4,540.27 and 835.41 is: 1,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.69 : 4,540.27 = 835.41 : x
  2. Step 2: Convert to fraction form
    3,026.69/4,540.27 = 835.41/x
  3. Step 3: Cross multiply
    3,026.69x = 4,540.27 × 835.41
  4. Step 4: Simplify right side
    3,026.69x = 3,792,989.05
  5. Step 5: Solve for x
    x = 3,792,989.05/3,026.69
  6. Step 6: Final answer
    x = 1,253.18

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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.