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Finding the Fourth Proportional to 2,758.82, 4,137.35 and 909.59

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Solution

The fourth proportional to 2,758.82, 4,137.35 and 909.59 is: 1,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.82 : 4,137.35 = 909.59 : x
  2. Step 2: Convert to fraction form
    2,758.82/4,137.35 = 909.59/x
  3. Step 3: Cross multiply
    2,758.82x = 4,137.35 × 909.59
  4. Step 4: Simplify right side
    2,758.82x = 3,763,266.95
  5. Step 5: Solve for x
    x = 3,763,266.95/2,758.82
  6. Step 6: Final answer
    x = 1,364.09

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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.