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Finding the Fourth Proportional to 2,522.22, 3,783.53 and 767.37

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Solution

The fourth proportional to 2,522.22, 3,783.53 and 767.37 is: 1,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.22 : 3,783.53 = 767.37 : x
  2. Step 2: Convert to fraction form
    2,522.22/3,783.53 = 767.37/x
  3. Step 3: Cross multiply
    2,522.22x = 3,783.53 × 767.37
  4. Step 4: Simplify right side
    2,522.22x = 2,903,383.52
  5. Step 5: Solve for x
    x = 2,903,383.52/2,522.22
  6. Step 6: Final answer
    x = 1,151.12

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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.