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Finding the Fourth Proportional to 2,681.06, 3,696.41 and 1,735.17

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Solution

The fourth proportional to 2,681.06, 3,696.41 and 1,735.17 is: 2,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.06 : 3,696.41 = 1,735.17 : x
  2. Step 2: Convert to fraction form
    2,681.06/3,696.41 = 1,735.17/x
  3. Step 3: Cross multiply
    2,681.06x = 3,696.41 × 1,735.17
  4. Step 4: Simplify right side
    2,681.06x = 6,413,891.06
  5. Step 5: Solve for x
    x = 6,413,891.06/2,681.06
  6. Step 6: Final answer
    x = 2,392.30

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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.