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Finding the Fourth Proportional to 3,259.43, 4,889.38 and 1,311.65

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Solution

The fourth proportional to 3,259.43, 4,889.38 and 1,311.65 is: 1,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.43 : 4,889.38 = 1,311.65 : x
  2. Step 2: Convert to fraction form
    3,259.43/4,889.38 = 1,311.65/x
  3. Step 3: Cross multiply
    3,259.43x = 4,889.38 × 1,311.65
  4. Step 4: Simplify right side
    3,259.43x = 6,413,127.55
  5. Step 5: Solve for x
    x = 6,413,127.55/3,259.43
  6. Step 6: Final answer
    x = 1,967.56

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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.