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Finding the Fourth Proportional to 2,114.42, 3,171.13 and 798.30

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Solution

The fourth proportional to 2,114.42, 3,171.13 and 798.30 is: 1,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.42 : 3,171.13 = 798.30 : x
  2. Step 2: Convert to fraction form
    2,114.42/3,171.13 = 798.30/x
  3. Step 3: Cross multiply
    2,114.42x = 3,171.13 × 798.30
  4. Step 4: Simplify right side
    2,114.42x = 2,531,509.09
  5. Step 5: Solve for x
    x = 2,531,509.09/2,114.42
  6. Step 6: Final answer
    x = 1,197.26

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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.