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Finding the Fourth Proportional to 4,165.70, 6,249.56 and 1,243.98

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Solution

The fourth proportional to 4,165.70, 6,249.56 and 1,243.98 is: 1,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.70 : 6,249.56 = 1,243.98 : x
  2. Step 2: Convert to fraction form
    4,165.70/6,249.56 = 1,243.98/x
  3. Step 3: Cross multiply
    4,165.70x = 6,249.56 × 1,243.98
  4. Step 4: Simplify right side
    4,165.70x = 7,774,321.43
  5. Step 5: Solve for x
    x = 7,774,321.43/4,165.70
  6. Step 6: Final answer
    x = 1,866.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.