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Finding the Fourth Proportional to 1,842.57, 2,764.26 and 544.05

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Solution

The fourth proportional to 1,842.57, 2,764.26 and 544.05 is: 816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.57 : 2,764.26 = 544.05 : x
  2. Step 2: Convert to fraction form
    1,842.57/2,764.26 = 544.05/x
  3. Step 3: Cross multiply
    1,842.57x = 2,764.26 × 544.05
  4. Step 4: Simplify right side
    1,842.57x = 1,503,895.65
  5. Step 5: Solve for x
    x = 1,503,895.65/1,842.57
  6. Step 6: Final answer
    x = 816.19

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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.