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Finding the Fourth Proportional to 2,764.63, 3,815.18 and 1,522.63

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Solution

The fourth proportional to 2,764.63, 3,815.18 and 1,522.63 is: 2,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.63 : 3,815.18 = 1,522.63 : x
  2. Step 2: Convert to fraction form
    2,764.63/3,815.18 = 1,522.63/x
  3. Step 3: Cross multiply
    2,764.63x = 3,815.18 × 1,522.63
  4. Step 4: Simplify right side
    2,764.63x = 5,809,092.25
  5. Step 5: Solve for x
    x = 5,809,092.25/2,764.63
  6. Step 6: Final answer
    x = 2,101.22

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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.