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Finding the Fourth Proportional to 2,523.67, 3,782.69 and 1,905.37

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Solution

The fourth proportional to 2,523.67, 3,782.69 and 1,905.37 is: 2,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.67 : 3,782.69 = 1,905.37 : x
  2. Step 2: Convert to fraction form
    2,523.67/3,782.69 = 1,905.37/x
  3. Step 3: Cross multiply
    2,523.67x = 3,782.69 × 1,905.37
  4. Step 4: Simplify right side
    2,523.67x = 7,207,424.05
  5. Step 5: Solve for x
    x = 7,207,424.05/2,523.67
  6. Step 6: Final answer
    x = 2,855.93

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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.