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Finding the Fourth Proportional to 2,798.76, 3,861.32 and 1,619.40

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Solution

The fourth proportional to 2,798.76, 3,861.32 and 1,619.40 is: 2,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.76 : 3,861.32 = 1,619.40 : x
  2. Step 2: Convert to fraction form
    2,798.76/3,861.32 = 1,619.40/x
  3. Step 3: Cross multiply
    2,798.76x = 3,861.32 × 1,619.40
  4. Step 4: Simplify right side
    2,798.76x = 6,253,021.61
  5. Step 5: Solve for x
    x = 6,253,021.61/2,798.76
  6. Step 6: Final answer
    x = 2,234.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.