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Finding the Fourth Proportional to 2,228.97, 3,072.70 and 1,696.93

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Solution

The fourth proportional to 2,228.97, 3,072.70 and 1,696.93 is: 2,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.97 : 3,072.70 = 1,696.93 : x
  2. Step 2: Convert to fraction form
    2,228.97/3,072.70 = 1,696.93/x
  3. Step 3: Cross multiply
    2,228.97x = 3,072.70 × 1,696.93
  4. Step 4: Simplify right side
    2,228.97x = 5,214,164.66
  5. Step 5: Solve for x
    x = 5,214,164.66/2,228.97
  6. Step 6: Final answer
    x = 2,339.27

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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.