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Finding the Fourth Proportional to 2,563.90, 3,843.54 and 920.06

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Solution

The fourth proportional to 2,563.90, 3,843.54 and 920.06 is: 1,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.90 : 3,843.54 = 920.06 : x
  2. Step 2: Convert to fraction form
    2,563.90/3,843.54 = 920.06/x
  3. Step 3: Cross multiply
    2,563.90x = 3,843.54 × 920.06
  4. Step 4: Simplify right side
    2,563.90x = 3,536,287.41
  5. Step 5: Solve for x
    x = 3,536,287.41/2,563.90
  6. Step 6: Final answer
    x = 1,379.26

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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.