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Finding the Fourth Proportional to 2,539.83, 3,808.67 and 896.61

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Solution

The fourth proportional to 2,539.83, 3,808.67 and 896.61 is: 1,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.83 : 3,808.67 = 896.61 : x
  2. Step 2: Convert to fraction form
    2,539.83/3,808.67 = 896.61/x
  3. Step 3: Cross multiply
    2,539.83x = 3,808.67 × 896.61
  4. Step 4: Simplify right side
    2,539.83x = 3,414,887.13
  5. Step 5: Solve for x
    x = 3,414,887.13/2,539.83
  6. Step 6: Final answer
    x = 1,344.53

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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.