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Finding the Fourth Proportional to 2,563.41, 3,842.74 and 1,004.47

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Solution

The fourth proportional to 2,563.41, 3,842.74 and 1,004.47 is: 1,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.41 : 3,842.74 = 1,004.47 : x
  2. Step 2: Convert to fraction form
    2,563.41/3,842.74 = 1,004.47/x
  3. Step 3: Cross multiply
    2,563.41x = 3,842.74 × 1,004.47
  4. Step 4: Simplify right side
    2,563.41x = 3,859,917.05
  5. Step 5: Solve for x
    x = 3,859,917.05/2,563.41
  6. Step 6: Final answer
    x = 1,505.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.