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Finding the Fourth Proportional to 2,855.44, 4,280.64 and 2,683.36

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Solution

The fourth proportional to 2,855.44, 4,280.64 and 2,683.36 is: 4,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.44 : 4,280.64 = 2,683.36 : x
  2. Step 2: Convert to fraction form
    2,855.44/4,280.64 = 2,683.36/x
  3. Step 3: Cross multiply
    2,855.44x = 4,280.64 × 2,683.36
  4. Step 4: Simplify right side
    2,855.44x = 11,486,498.15
  5. Step 5: Solve for x
    x = 11,486,498.15/2,855.44
  6. Step 6: Final answer
    x = 4,022.67

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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.