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Finding the Fourth Proportional to 2,523.86, 3,782.72 and 1,350.98

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Solution

The fourth proportional to 2,523.86, 3,782.72 and 1,350.98 is: 2,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.86 : 3,782.72 = 1,350.98 : x
  2. Step 2: Convert to fraction form
    2,523.86/3,782.72 = 1,350.98/x
  3. Step 3: Cross multiply
    2,523.86x = 3,782.72 × 1,350.98
  4. Step 4: Simplify right side
    2,523.86x = 5,110,379.07
  5. Step 5: Solve for x
    x = 5,110,379.07/2,523.86
  6. Step 6: Final answer
    x = 2,024.83

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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.