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Finding the Fourth Proportional to 2,557.08, 3,835.62 and 825.84

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Solution

The fourth proportional to 2,557.08, 3,835.62 and 825.84 is: 1,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.08 : 3,835.62 = 825.84 : x
  2. Step 2: Convert to fraction form
    2,557.08/3,835.62 = 825.84/x
  3. Step 3: Cross multiply
    2,557.08x = 3,835.62 × 825.84
  4. Step 4: Simplify right side
    2,557.08x = 3,167,608.42
  5. Step 5: Solve for x
    x = 3,167,608.42/2,557.08
  6. Step 6: Final answer
    x = 1,238.76

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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.