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Finding the Fourth Proportional to 2,683.73, 4,025.45 and 835.02

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Solution

The fourth proportional to 2,683.73, 4,025.45 and 835.02 is: 1,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.73 : 4,025.45 = 835.02 : x
  2. Step 2: Convert to fraction form
    2,683.73/4,025.45 = 835.02/x
  3. Step 3: Cross multiply
    2,683.73x = 4,025.45 × 835.02
  4. Step 4: Simplify right side
    2,683.73x = 3,361,333.35
  5. Step 5: Solve for x
    x = 3,361,333.35/2,683.73
  6. Step 6: Final answer
    x = 1,252.48

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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.