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Finding the Fourth Proportional to 3,246.77, 4,868.02 and 1,165.73

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Solution

The fourth proportional to 3,246.77, 4,868.02 and 1,165.73 is: 1,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.77 : 4,868.02 = 1,165.73 : x
  2. Step 2: Convert to fraction form
    3,246.77/4,868.02 = 1,165.73/x
  3. Step 3: Cross multiply
    3,246.77x = 4,868.02 × 1,165.73
  4. Step 4: Simplify right side
    3,246.77x = 5,674,796.95
  5. Step 5: Solve for x
    x = 5,674,796.95/3,246.77
  6. Step 6: Final answer
    x = 1,747.83

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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.