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Finding the Fourth Proportional to 3,049.12, 4,206 and 1,789.86

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Solution

The fourth proportional to 3,049.12, 4,206 and 1,789.86 is: 2,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.12 : 4,206 = 1,789.86 : x
  2. Step 2: Convert to fraction form
    3,049.12/4,206 = 1,789.86/x
  3. Step 3: Cross multiply
    3,049.12x = 4,206 × 1,789.86
  4. Step 4: Simplify right side
    3,049.12x = 7,528,151.16
  5. Step 5: Solve for x
    x = 7,528,151.16/3,049.12
  6. Step 6: Final answer
    x = 2,468.96

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