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Finding the Fourth Proportional to 2,683.46, 4,025.19 and 735.62

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Solution

The fourth proportional to 2,683.46, 4,025.19 and 735.62 is: 1,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.46 : 4,025.19 = 735.62 : x
  2. Step 2: Convert to fraction form
    2,683.46/4,025.19 = 735.62/x
  3. Step 3: Cross multiply
    2,683.46x = 4,025.19 × 735.62
  4. Step 4: Simplify right side
    2,683.46x = 2,960,992.90
  5. Step 5: Solve for x
    x = 2,960,992.90/2,683.46
  6. Step 6: Final answer
    x = 1,103.42

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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.