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Finding the Fourth Proportional to 1,772.12, 2,446.18 and 1,522.44

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Solution

The fourth proportional to 1,772.12, 2,446.18 and 1,522.44 is: 2,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.12 : 2,446.18 = 1,522.44 : x
  2. Step 2: Convert to fraction form
    1,772.12/2,446.18 = 1,522.44/x
  3. Step 3: Cross multiply
    1,772.12x = 2,446.18 × 1,522.44
  4. Step 4: Simplify right side
    1,772.12x = 3,724,162.28
  5. Step 5: Solve for x
    x = 3,724,162.28/1,772.12
  6. Step 6: Final answer
    x = 2,101.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.