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Finding the Fourth Proportional to 2,759.27, 4,137.35 and 909.86

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Solution

The fourth proportional to 2,759.27, 4,137.35 and 909.86 is: 1,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.27 : 4,137.35 = 909.86 : x
  2. Step 2: Convert to fraction form
    2,759.27/4,137.35 = 909.86/x
  3. Step 3: Cross multiply
    2,759.27x = 4,137.35 × 909.86
  4. Step 4: Simplify right side
    2,759.27x = 3,764,384.03
  5. Step 5: Solve for x
    x = 3,764,384.03/2,759.27
  6. Step 6: Final answer
    x = 1,364.27

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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.