Home / 1,969.12-2,953.68-1,198.08

Finding the Fourth Proportional to 1,969.12, 2,953.68 and 1,198.08

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Solution

The fourth proportional to 1,969.12, 2,953.68 and 1,198.08 is: 1,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.12 : 2,953.68 = 1,198.08 : x
  2. Step 2: Convert to fraction form
    1,969.12/2,953.68 = 1,198.08/x
  3. Step 3: Cross multiply
    1,969.12x = 2,953.68 × 1,198.08
  4. Step 4: Simplify right side
    1,969.12x = 3,538,744.93
  5. Step 5: Solve for x
    x = 3,538,744.93/1,969.12
  6. Step 6: Final answer
    x = 1,797.12

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Why These Related Problems?

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