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Finding the Fourth Proportional to 2,764.83, 3,815.42 and 1,522.83

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Solution

The fourth proportional to 2,764.83, 3,815.42 and 1,522.83 is: 2,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.83 : 3,815.42 = 1,522.83 : x
  2. Step 2: Convert to fraction form
    2,764.83/3,815.42 = 1,522.83/x
  3. Step 3: Cross multiply
    2,764.83x = 3,815.42 × 1,522.83
  4. Step 4: Simplify right side
    2,764.83x = 5,810,236.04
  5. Step 5: Solve for x
    x = 5,810,236.04/2,764.83
  6. Step 6: Final answer
    x = 2,101.48

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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.