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Finding the Fourth Proportional to 2,683.68, 4,025.49 and 735.87

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Solution

The fourth proportional to 2,683.68, 4,025.49 and 735.87 is: 1,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.68 : 4,025.49 = 735.87 : x
  2. Step 2: Convert to fraction form
    2,683.68/4,025.49 = 735.87/x
  3. Step 3: Cross multiply
    2,683.68x = 4,025.49 × 735.87
  4. Step 4: Simplify right side
    2,683.68x = 2,962,237.33
  5. Step 5: Solve for x
    x = 2,962,237.33/2,683.68
  6. Step 6: Final answer
    x = 1,103.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.