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Finding the Fourth Proportional to 2,683.75, 4,025.13 and 735.70

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Solution

The fourth proportional to 2,683.75, 4,025.13 and 735.70 is: 1,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.75 : 4,025.13 = 735.70 : x
  2. Step 2: Convert to fraction form
    2,683.75/4,025.13 = 735.70/x
  3. Step 3: Cross multiply
    2,683.75x = 4,025.13 × 735.70
  4. Step 4: Simplify right side
    2,683.75x = 2,961,288.14
  5. Step 5: Solve for x
    x = 2,961,288.14/2,683.75
  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.