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Finding the Fourth Proportional to 2,798.22, 4,198.20 and 1,155.54

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Solution

The fourth proportional to 2,798.22, 4,198.20 and 1,155.54 is: 1,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.22 : 4,198.20 = 1,155.54 : x
  2. Step 2: Convert to fraction form
    2,798.22/4,198.20 = 1,155.54/x
  3. Step 3: Cross multiply
    2,798.22x = 4,198.20 × 1,155.54
  4. Step 4: Simplify right side
    2,798.22x = 4,851,188.03
  5. Step 5: Solve for x
    x = 4,851,188.03/2,798.22
  6. Step 6: Final answer
    x = 1,733.67

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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.