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Finding the Fourth Proportional to 2,683.50, 4,025.07 and 735.72

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Solution

The fourth proportional to 2,683.50, 4,025.07 and 735.72 is: 1,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.50 : 4,025.07 = 735.72 : x
  2. Step 2: Convert to fraction form
    2,683.50/4,025.07 = 735.72/x
  3. Step 3: Cross multiply
    2,683.50x = 4,025.07 × 735.72
  4. Step 4: Simplify right side
    2,683.50x = 2,961,324.50
  5. Step 5: Solve for x
    x = 2,961,324.50/2,683.50
  6. Step 6: Final answer
    x = 1,103.53

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1.5x scale

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.