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Finding the Fourth Proportional to 2,759.19, 4,137.91 and 909.96

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Solution

The fourth proportional to 2,759.19, 4,137.91 and 909.96 is: 1,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.19 : 4,137.91 = 909.96 : x
  2. Step 2: Convert to fraction form
    2,759.19/4,137.91 = 909.96/x
  3. Step 3: Cross multiply
    2,759.19x = 4,137.91 × 909.96
  4. Step 4: Simplify right side
    2,759.19x = 3,765,328.03
  5. Step 5: Solve for x
    x = 3,765,328.03/2,759.19
  6. Step 6: Final answer
    x = 1,364.65

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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.