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Finding the Fourth Proportional to 3,259.44, 4,889.34 and 1,311.42

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Solution

The fourth proportional to 3,259.44, 4,889.34 and 1,311.42 is: 1,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.44 : 4,889.34 = 1,311.42 : x
  2. Step 2: Convert to fraction form
    3,259.44/4,889.34 = 1,311.42/x
  3. Step 3: Cross multiply
    3,259.44x = 4,889.34 × 1,311.42
  4. Step 4: Simplify right side
    3,259.44x = 6,411,978.26
  5. Step 5: Solve for x
    x = 6,411,978.26/3,259.44
  6. Step 6: Final answer
    x = 1,967.20

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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.