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Finding the Fourth Proportional to 2,783.82, 3,841.63 and 1,524.88

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Solution

The fourth proportional to 2,783.82, 3,841.63 and 1,524.88 is: 2,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.82 : 3,841.63 = 1,524.88 : x
  2. Step 2: Convert to fraction form
    2,783.82/3,841.63 = 1,524.88/x
  3. Step 3: Cross multiply
    2,783.82x = 3,841.63 × 1,524.88
  4. Step 4: Simplify right side
    2,783.82x = 5,858,004.14
  5. Step 5: Solve for x
    x = 5,858,004.14/2,783.82
  6. Step 6: Final answer
    x = 2,104.31

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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.