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Finding the Fourth Proportional to 2,758.25, 4,137.83 and 909.47

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Solution

The fourth proportional to 2,758.25, 4,137.83 and 909.47 is: 1,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.25 : 4,137.83 = 909.47 : x
  2. Step 2: Convert to fraction form
    2,758.25/4,137.83 = 909.47/x
  3. Step 3: Cross multiply
    2,758.25x = 4,137.83 × 909.47
  4. Step 4: Simplify right side
    2,758.25x = 3,763,238.05
  5. Step 5: Solve for x
    x = 3,763,238.05/2,758.25
  6. Step 6: Final answer
    x = 1,364.36

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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.