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Finding the Fourth Proportional to 3,234.56, 4,849.92 and 1,935.20

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Solution

The fourth proportional to 3,234.56, 4,849.92 and 1,935.20 is: 2,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.56 : 4,849.92 = 1,935.20 : x
  2. Step 2: Convert to fraction form
    3,234.56/4,849.92 = 1,935.20/x
  3. Step 3: Cross multiply
    3,234.56x = 4,849.92 × 1,935.20
  4. Step 4: Simplify right side
    3,234.56x = 9,385,565.18
  5. Step 5: Solve for x
    x = 9,385,565.18/3,234.56
  6. Step 6: Final answer
    x = 2,901.65

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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.