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Finding the Fourth Proportional to 1,522.29, 2,287.71 and 906.11

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Solution

The fourth proportional to 1,522.29, 2,287.71 and 906.11 is: 1,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.29 : 2,287.71 = 906.11 : x
  2. Step 2: Convert to fraction form
    1,522.29/2,287.71 = 906.11/x
  3. Step 3: Cross multiply
    1,522.29x = 2,287.71 × 906.11
  4. Step 4: Simplify right side
    1,522.29x = 2,072,916.91
  5. Step 5: Solve for x
    x = 2,072,916.91/1,522.29
  6. Step 6: Final answer
    x = 1,361.71

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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.