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Finding the Fourth Proportional to 2,473.44, 3,709.74 and 829.98

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Solution

The fourth proportional to 2,473.44, 3,709.74 and 829.98 is: 1,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.44 : 3,709.74 = 829.98 : x
  2. Step 2: Convert to fraction form
    2,473.44/3,709.74 = 829.98/x
  3. Step 3: Cross multiply
    2,473.44x = 3,709.74 × 829.98
  4. Step 4: Simplify right side
    2,473.44x = 3,079,010.01
  5. Step 5: Solve for x
    x = 3,079,010.01/2,473.44
  6. Step 6: Final answer
    x = 1,244.83

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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.