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Finding the Fourth Proportional to 2,798.36, 4,198.26 and 2,411.90

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Solution

The fourth proportional to 2,798.36, 4,198.26 and 2,411.90 is: 3,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.36 : 4,198.26 = 2,411.90 : x
  2. Step 2: Convert to fraction form
    2,798.36/4,198.26 = 2,411.90/x
  3. Step 3: Cross multiply
    2,798.36x = 4,198.26 × 2,411.90
  4. Step 4: Simplify right side
    2,798.36x = 10,125,783.29
  5. Step 5: Solve for x
    x = 10,125,783.29/2,798.36
  6. Step 6: Final answer
    x = 3,618.47

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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.