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Finding the Fourth Proportional to 3,198.75, 4,798.14 and 1,119.07

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Solution

The fourth proportional to 3,198.75, 4,798.14 and 1,119.07 is: 1,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.75 : 4,798.14 = 1,119.07 : x
  2. Step 2: Convert to fraction form
    3,198.75/4,798.14 = 1,119.07/x
  3. Step 3: Cross multiply
    3,198.75x = 4,798.14 × 1,119.07
  4. Step 4: Simplify right side
    3,198.75x = 5,369,454.53
  5. Step 5: Solve for x
    x = 5,369,454.53/3,198.75
  6. Step 6: Final answer
    x = 1,678.61

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1.5x scale

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.