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Finding the Fourth Proportional to 2,520.86, 3,782.48 and 1,351.84

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Solution

The fourth proportional to 2,520.86, 3,782.48 and 1,351.84 is: 2,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.86 : 3,782.48 = 1,351.84 : x
  2. Step 2: Convert to fraction form
    2,520.86/3,782.48 = 1,351.84/x
  3. Step 3: Cross multiply
    2,520.86x = 3,782.48 × 1,351.84
  4. Step 4: Simplify right side
    2,520.86x = 5,113,311.95
  5. Step 5: Solve for x
    x = 5,113,311.95/2,520.86
  6. Step 6: Final answer
    x = 2,028.40

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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.