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Finding the Fourth Proportional to 2,596.06, 3,893.73 and 841.24

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Solution

The fourth proportional to 2,596.06, 3,893.73 and 841.24 is: 1,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.06 : 3,893.73 = 841.24 : x
  2. Step 2: Convert to fraction form
    2,596.06/3,893.73 = 841.24/x
  3. Step 3: Cross multiply
    2,596.06x = 3,893.73 × 841.24
  4. Step 4: Simplify right side
    2,596.06x = 3,275,561.43
  5. Step 5: Solve for x
    x = 3,275,561.43/2,596.06
  6. Step 6: Final answer
    x = 1,261.74

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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.