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Finding the Fourth Proportional to 2,173.71, 3,260.76 and 712.83

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Solution

The fourth proportional to 2,173.71, 3,260.76 and 712.83 is: 1,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.71 : 3,260.76 = 712.83 : x
  2. Step 2: Convert to fraction form
    2,173.71/3,260.76 = 712.83/x
  3. Step 3: Cross multiply
    2,173.71x = 3,260.76 × 712.83
  4. Step 4: Simplify right side
    2,173.71x = 2,324,367.55
  5. Step 5: Solve for x
    x = 2,324,367.55/2,173.71
  6. Step 6: Final answer
    x = 1,069.31

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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.