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Finding the Fourth Proportional to 3,271.86, 4,909.68 and 1,323.54

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Solution

The fourth proportional to 3,271.86, 4,909.68 and 1,323.54 is: 1,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.86 : 4,909.68 = 1,323.54 : x
  2. Step 2: Convert to fraction form
    3,271.86/4,909.68 = 1,323.54/x
  3. Step 3: Cross multiply
    3,271.86x = 4,909.68 × 1,323.54
  4. Step 4: Simplify right side
    3,271.86x = 6,498,157.87
  5. Step 5: Solve for x
    x = 6,498,157.87/3,271.86
  6. Step 6: Final answer
    x = 1,986.07

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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.