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Finding the Fourth Proportional to 1,396.09, 2,094.54 and 422.20

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Solution

The fourth proportional to 1,396.09, 2,094.54 and 422.20 is: 633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.09 : 2,094.54 = 422.20 : x
  2. Step 2: Convert to fraction form
    1,396.09/2,094.54 = 422.20/x
  3. Step 3: Cross multiply
    1,396.09x = 2,094.54 × 422.20
  4. Step 4: Simplify right side
    1,396.09x = 884,314.79
  5. Step 5: Solve for x
    x = 884,314.79/1,396.09
  6. Step 6: Final answer
    x = 633.42

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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.