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Finding the Fourth Proportional to 1,522.17, 2,283.24 and 426.53

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Solution

The fourth proportional to 1,522.17, 2,283.24 and 426.53 is: 639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.17 : 2,283.24 = 426.53 : x
  2. Step 2: Convert to fraction form
    1,522.17/2,283.24 = 426.53/x
  3. Step 3: Cross multiply
    1,522.17x = 2,283.24 × 426.53
  4. Step 4: Simplify right side
    1,522.17x = 973,858.94
  5. Step 5: Solve for x
    x = 973,858.94/1,522.17
  6. Step 6: Final answer
    x = 639.78

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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.