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Finding the Fourth Proportional to 2,578.36, 3,868.23 and 1,838.90

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Solution

The fourth proportional to 2,578.36, 3,868.23 and 1,838.90 is: 2,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.36 : 3,868.23 = 1,838.90 : x
  2. Step 2: Convert to fraction form
    2,578.36/3,868.23 = 1,838.90/x
  3. Step 3: Cross multiply
    2,578.36x = 3,868.23 × 1,838.90
  4. Step 4: Simplify right side
    2,578.36x = 7,113,288.15
  5. Step 5: Solve for x
    x = 7,113,288.15/2,578.36
  6. Step 6: Final answer
    x = 2,758.84

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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.