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Finding the Fourth Proportional to 2,790.75, 4,185.72 and 815.86

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Solution

The fourth proportional to 2,790.75, 4,185.72 and 815.86 is: 1,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.75 : 4,185.72 = 815.86 : x
  2. Step 2: Convert to fraction form
    2,790.75/4,185.72 = 815.86/x
  3. Step 3: Cross multiply
    2,790.75x = 4,185.72 × 815.86
  4. Step 4: Simplify right side
    2,790.75x = 3,414,961.52
  5. Step 5: Solve for x
    x = 3,414,961.52/2,790.75
  6. Step 6: Final answer
    x = 1,223.67

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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.