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Finding the Fourth Proportional to 1,830.11, 2,744.87 and 531.27

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Solution

The fourth proportional to 1,830.11, 2,744.87 and 531.27 is: 796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.11 : 2,744.87 = 531.27 : x
  2. Step 2: Convert to fraction form
    1,830.11/2,744.87 = 531.27/x
  3. Step 3: Cross multiply
    1,830.11x = 2,744.87 × 531.27
  4. Step 4: Simplify right side
    1,830.11x = 1,458,264.43
  5. Step 5: Solve for x
    x = 1,458,264.43/1,830.11
  6. Step 6: Final answer
    x = 796.82

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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.