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Finding the Fourth Proportional to 3,194.72, 4,410 and 1,937.12

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Solution

The fourth proportional to 3,194.72, 4,410 and 1,937.12 is: 2,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.72 : 4,410 = 1,937.12 : x
  2. Step 2: Convert to fraction form
    3,194.72/4,410 = 1,937.12/x
  3. Step 3: Cross multiply
    3,194.72x = 4,410 × 1,937.12
  4. Step 4: Simplify right side
    3,194.72x = 8,542,699.20
  5. Step 5: Solve for x
    x = 8,542,699.20/3,194.72
  6. Step 6: Final answer
    x = 2,674.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.