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Finding the Fourth Proportional to 2,596.59, 3,892.46 and 864.81

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Solution

The fourth proportional to 2,596.59, 3,892.46 and 864.81 is: 1,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.59 : 3,892.46 = 864.81 : x
  2. Step 2: Convert to fraction form
    2,596.59/3,892.46 = 864.81/x
  3. Step 3: Cross multiply
    2,596.59x = 3,892.46 × 864.81
  4. Step 4: Simplify right side
    2,596.59x = 3,366,234.01
  5. Step 5: Solve for x
    x = 3,366,234.01/2,596.59
  6. Step 6: Final answer
    x = 1,296.41

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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.