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Finding the Fourth Proportional to 3,149.55, 4,722.76 and 1,300.22

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Solution

The fourth proportional to 3,149.55, 4,722.76 and 1,300.22 is: 1,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.55 : 4,722.76 = 1,300.22 : x
  2. Step 2: Convert to fraction form
    3,149.55/4,722.76 = 1,300.22/x
  3. Step 3: Cross multiply
    3,149.55x = 4,722.76 × 1,300.22
  4. Step 4: Simplify right side
    3,149.55x = 6,140,640.44
  5. Step 5: Solve for x
    x = 6,140,640.44/3,149.55
  6. Step 6: Final answer
    x = 1,949.69

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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.