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Finding the Fourth Proportional to 1,396.18, 2,094.64 and 422.31

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Solution

The fourth proportional to 1,396.18, 2,094.64 and 422.31 is: 633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.18 : 2,094.64 = 422.31 : x
  2. Step 2: Convert to fraction form
    1,396.18/2,094.64 = 422.31/x
  3. Step 3: Cross multiply
    1,396.18x = 2,094.64 × 422.31
  4. Step 4: Simplify right side
    1,396.18x = 884,586.36
  5. Step 5: Solve for x
    x = 884,586.36/1,396.18
  6. Step 6: Final answer
    x = 633.58

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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.