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Finding the Fourth Proportional to 3,116.69, 4,300.83 and 1,789.46

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Solution

The fourth proportional to 3,116.69, 4,300.83 and 1,789.46 is: 2,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.69 : 4,300.83 = 1,789.46 : x
  2. Step 2: Convert to fraction form
    3,116.69/4,300.83 = 1,789.46/x
  3. Step 3: Cross multiply
    3,116.69x = 4,300.83 × 1,789.46
  4. Step 4: Simplify right side
    3,116.69x = 7,696,163.25
  5. Step 5: Solve for x
    x = 7,696,163.25/3,116.69
  6. Step 6: Final answer
    x = 2,469.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.