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Finding the Fourth Proportional to 2,683.40, 4,025.34 and 735.56

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Solution

The fourth proportional to 2,683.40, 4,025.34 and 735.56 is: 1,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.40 : 4,025.34 = 735.56 : x
  2. Step 2: Convert to fraction form
    2,683.40/4,025.34 = 735.56/x
  3. Step 3: Cross multiply
    2,683.40x = 4,025.34 × 735.56
  4. Step 4: Simplify right side
    2,683.40x = 2,960,879.09
  5. Step 5: Solve for x
    x = 2,960,879.09/2,683.40
  6. Step 6: Final answer
    x = 1,103.41

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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.