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Finding the Fourth Proportional to 2,782.20, 4,165.20 and 2,490.60

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Solution

The fourth proportional to 2,782.20, 4,165.20 and 2,490.60 is: 3,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.20 : 4,165.20 = 2,490.60 : x
  2. Step 2: Convert to fraction form
    2,782.20/4,165.20 = 2,490.60/x
  3. Step 3: Cross multiply
    2,782.20x = 4,165.20 × 2,490.60
  4. Step 4: Simplify right side
    2,782.20x = 10,373,847.12
  5. Step 5: Solve for x
    x = 10,373,847.12/2,782.20
  6. Step 6: Final answer
    x = 3,728.65

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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.