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Finding the Fourth Proportional to 3,198.64, 4,798.32 and 890.14

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Solution

The fourth proportional to 3,198.64, 4,798.32 and 890.14 is: 1,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.64 : 4,798.32 = 890.14 : x
  2. Step 2: Convert to fraction form
    3,198.64/4,798.32 = 890.14/x
  3. Step 3: Cross multiply
    3,198.64x = 4,798.32 × 890.14
  4. Step 4: Simplify right side
    3,198.64x = 4,271,176.56
  5. Step 5: Solve for x
    x = 4,271,176.56/3,198.64
  6. Step 6: Final answer
    x = 1,335.31

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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.