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Finding the Fourth Proportional to 1,687.69, 2,528.70 and 1,198.32

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Solution

The fourth proportional to 1,687.69, 2,528.70 and 1,198.32 is: 1,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.69 : 2,528.70 = 1,198.32 : x
  2. Step 2: Convert to fraction form
    1,687.69/2,528.70 = 1,198.32/x
  3. Step 3: Cross multiply
    1,687.69x = 2,528.70 × 1,198.32
  4. Step 4: Simplify right side
    1,687.69x = 3,030,179.14
  5. Step 5: Solve for x
    x = 3,030,179.14/1,687.69
  6. Step 6: Final answer
    x = 1,795.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.