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Finding the Fourth Proportional to 4,163.77, 6,246.02 and 1,698.76

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Solution

The fourth proportional to 4,163.77, 6,246.02 and 1,698.76 is: 2,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.77 : 6,246.02 = 1,698.76 : x
  2. Step 2: Convert to fraction form
    4,163.77/6,246.02 = 1,698.76/x
  3. Step 3: Cross multiply
    4,163.77x = 6,246.02 × 1,698.76
  4. Step 4: Simplify right side
    4,163.77x = 10,610,488.94
  5. Step 5: Solve for x
    x = 10,610,488.94/4,163.77
  6. Step 6: Final answer
    x = 2,548.29

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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.