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Finding the Fourth Proportional to 2,782.60, 3,837.72 and 1,997.08

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Solution

The fourth proportional to 2,782.60, 3,837.72 and 1,997.08 is: 2,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.60 : 3,837.72 = 1,997.08 : x
  2. Step 2: Convert to fraction form
    2,782.60/3,837.72 = 1,997.08/x
  3. Step 3: Cross multiply
    2,782.60x = 3,837.72 × 1,997.08
  4. Step 4: Simplify right side
    2,782.60x = 7,664,233.86
  5. Step 5: Solve for x
    x = 7,664,233.86/2,782.60
  6. Step 6: Final answer
    x = 2,754.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.