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Finding the Fourth Proportional to 1,522.21, 2,283.31 and 367.96

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Solution

The fourth proportional to 1,522.21, 2,283.31 and 367.96 is: 551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.21 : 2,283.31 = 367.96 : x
  2. Step 2: Convert to fraction form
    1,522.21/2,283.31 = 367.96/x
  3. Step 3: Cross multiply
    1,522.21x = 2,283.31 × 367.96
  4. Step 4: Simplify right side
    1,522.21x = 840,155.33
  5. Step 5: Solve for x
    x = 840,155.33/1,522.21
  6. Step 6: Final answer
    x = 551.93

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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.