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Finding the Fourth Proportional to 2,783.42, 3,841.05 and 1,524.44

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Solution

The fourth proportional to 2,783.42, 3,841.05 and 1,524.44 is: 2,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.42 : 3,841.05 = 1,524.44 : x
  2. Step 2: Convert to fraction form
    2,783.42/3,841.05 = 1,524.44/x
  3. Step 3: Cross multiply
    2,783.42x = 3,841.05 × 1,524.44
  4. Step 4: Simplify right side
    2,783.42x = 5,855,450.26
  5. Step 5: Solve for x
    x = 5,855,450.26/2,783.42
  6. Step 6: Final answer
    x = 2,103.69

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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.