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Finding the Fourth Proportional to 2,798.31, 4,191.07 and 1,338.49

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Solution

The fourth proportional to 2,798.31, 4,191.07 and 1,338.49 is: 2,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.31 : 4,191.07 = 1,338.49 : x
  2. Step 2: Convert to fraction form
    2,798.31/4,191.07 = 1,338.49/x
  3. Step 3: Cross multiply
    2,798.31x = 4,191.07 × 1,338.49
  4. Step 4: Simplify right side
    2,798.31x = 5,609,705.28
  5. Step 5: Solve for x
    x = 5,609,705.28/2,798.31
  6. Step 6: Final answer
    x = 2,004.68

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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.