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Finding the Fourth Proportional to 3,198.42, 4,798.86 and 1,118.64

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Solution

The fourth proportional to 3,198.42, 4,798.86 and 1,118.64 is: 1,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.42 : 4,798.86 = 1,118.64 : x
  2. Step 2: Convert to fraction form
    3,198.42/4,798.86 = 1,118.64/x
  3. Step 3: Cross multiply
    3,198.42x = 4,798.86 × 1,118.64
  4. Step 4: Simplify right side
    3,198.42x = 5,368,196.75
  5. Step 5: Solve for x
    x = 5,368,196.75/3,198.42
  6. Step 6: Final answer
    x = 1,678.39

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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.