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Finding the Fourth Proportional to 4,494.66, 6,741.72 and 1,682.94

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Solution

The fourth proportional to 4,494.66, 6,741.72 and 1,682.94 is: 2,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.66 : 6,741.72 = 1,682.94 : x
  2. Step 2: Convert to fraction form
    4,494.66/6,741.72 = 1,682.94/x
  3. Step 3: Cross multiply
    4,494.66x = 6,741.72 × 1,682.94
  4. Step 4: Simplify right side
    4,494.66x = 11,345,910.26
  5. Step 5: Solve for x
    x = 11,345,910.26/4,494.66
  6. Step 6: Final answer
    x = 2,524.31

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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.