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Finding the Fourth Proportional to 1,525.97, 2,107.59 and 1,198.31

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Solution

The fourth proportional to 1,525.97, 2,107.59 and 1,198.31 is: 1,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.97 : 2,107.59 = 1,198.31 : x
  2. Step 2: Convert to fraction form
    1,525.97/2,107.59 = 1,198.31/x
  3. Step 3: Cross multiply
    1,525.97x = 2,107.59 × 1,198.31
  4. Step 4: Simplify right side
    1,525.97x = 2,525,546.17
  5. Step 5: Solve for x
    x = 2,525,546.17/1,525.97
  6. Step 6: Final answer
    x = 1,655.04

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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.