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Finding the Fourth Proportional to 1,735.82, 2,395.14 and 1,105.23

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Solution

The fourth proportional to 1,735.82, 2,395.14 and 1,105.23 is: 1,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.82 : 2,395.14 = 1,105.23 : x
  2. Step 2: Convert to fraction form
    1,735.82/2,395.14 = 1,105.23/x
  3. Step 3: Cross multiply
    1,735.82x = 2,395.14 × 1,105.23
  4. Step 4: Simplify right side
    1,735.82x = 2,647,180.58
  5. Step 5: Solve for x
    x = 2,647,180.58/1,735.82
  6. Step 6: Final answer
    x = 1,525.04

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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.