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Finding the Fourth Proportional to 3,149.76, 4,719.24 and 2,223.66

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Solution

The fourth proportional to 3,149.76, 4,719.24 and 2,223.66 is: 3,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.76 : 4,719.24 = 2,223.66 : x
  2. Step 2: Convert to fraction form
    3,149.76/4,719.24 = 2,223.66/x
  3. Step 3: Cross multiply
    3,149.76x = 4,719.24 × 2,223.66
  4. Step 4: Simplify right side
    3,149.76x = 10,493,985.22
  5. Step 5: Solve for x
    x = 10,493,985.22/3,149.76
  6. Step 6: Final answer
    x = 3,331.68

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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.