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Finding the Fourth Proportional to 2,783.63, 3,839.24 and 1,789.00

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Solution

The fourth proportional to 2,783.63, 3,839.24 and 1,789.00 is: 2,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.63 : 3,839.24 = 1,789.00 : x
  2. Step 2: Convert to fraction form
    2,783.63/3,839.24 = 1,789.00/x
  3. Step 3: Cross multiply
    2,783.63x = 3,839.24 × 1,789.00
  4. Step 4: Simplify right side
    2,783.63x = 6,868,372.22
  5. Step 5: Solve for x
    x = 6,868,372.22/2,783.63
  6. Step 6: Final answer
    x = 2,467.42

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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.