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Finding the Fourth Proportional to 2,296.79, 3,164.87 and 2,172.73

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Solution

The fourth proportional to 2,296.79, 3,164.87 and 2,172.73 is: 2,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.79 : 3,164.87 = 2,172.73 : x
  2. Step 2: Convert to fraction form
    2,296.79/3,164.87 = 2,172.73/x
  3. Step 3: Cross multiply
    2,296.79x = 3,164.87 × 2,172.73
  4. Step 4: Simplify right side
    2,296.79x = 6,876,405.51
  5. Step 5: Solve for x
    x = 6,876,405.51/2,296.79
  6. Step 6: Final answer
    x = 2,993.93

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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.