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Finding the Fourth Proportional to 2,164.42, 3,245.73 and 931.18

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Solution

The fourth proportional to 2,164.42, 3,245.73 and 931.18 is: 1,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.42 : 3,245.73 = 931.18 : x
  2. Step 2: Convert to fraction form
    2,164.42/3,245.73 = 931.18/x
  3. Step 3: Cross multiply
    2,164.42x = 3,245.73 × 931.18
  4. Step 4: Simplify right side
    2,164.42x = 3,022,358.86
  5. Step 5: Solve for x
    x = 3,022,358.86/2,164.42
  6. Step 6: Final answer
    x = 1,396.38

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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.