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Finding the Fourth Proportional to 3,147.50, 4,720.51 and 1,296.78

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Solution

The fourth proportional to 3,147.50, 4,720.51 and 1,296.78 is: 1,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.50 : 4,720.51 = 1,296.78 : x
  2. Step 2: Convert to fraction form
    3,147.50/4,720.51 = 1,296.78/x
  3. Step 3: Cross multiply
    3,147.50x = 4,720.51 × 1,296.78
  4. Step 4: Simplify right side
    3,147.50x = 6,121,462.96
  5. Step 5: Solve for x
    x = 6,121,462.96/3,147.50
  6. Step 6: Final answer
    x = 1,944.87

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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.