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Finding the Fourth Proportional to 2,758.38, 4,138.08 and 909.57

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Solution

The fourth proportional to 2,758.38, 4,138.08 and 909.57 is: 1,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.38 : 4,138.08 = 909.57 : x
  2. Step 2: Convert to fraction form
    2,758.38/4,138.08 = 909.57/x
  3. Step 3: Cross multiply
    2,758.38x = 4,138.08 × 909.57
  4. Step 4: Simplify right side
    2,758.38x = 3,763,873.43
  5. Step 5: Solve for x
    x = 3,763,873.43/2,758.38
  6. Step 6: Final answer
    x = 1,364.52

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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.