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Finding the Fourth Proportional to 2,815.73, 3,887.26 and 1,696.94

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Solution

The fourth proportional to 2,815.73, 3,887.26 and 1,696.94 is: 2,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.73 : 3,887.26 = 1,696.94 : x
  2. Step 2: Convert to fraction form
    2,815.73/3,887.26 = 1,696.94/x
  3. Step 3: Cross multiply
    2,815.73x = 3,887.26 × 1,696.94
  4. Step 4: Simplify right side
    2,815.73x = 6,596,438.50
  5. Step 5: Solve for x
    x = 6,596,438.50/2,815.73
  6. Step 6: Final answer
    x = 2,342.71

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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.