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Finding the Fourth Proportional to 4,469.94, 6,705.22 and 1,183

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Solution

The fourth proportional to 4,469.94, 6,705.22 and 1,183 is: 1,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.94 : 6,705.22 = 1,183 : x
  2. Step 2: Convert to fraction form
    4,469.94/6,705.22 = 1,183/x
  3. Step 3: Cross multiply
    4,469.94x = 6,705.22 × 1,183
  4. Step 4: Simplify right side
    4,469.94x = 7,932,275.26
  5. Step 5: Solve for x
    x = 7,932,275.26/4,469.94
  6. Step 6: Final answer
    x = 1,774.58

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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.