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Finding the Fourth Proportional to 1,798.26, 2,474.41 and 1,378.46

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Solution

The fourth proportional to 1,798.26, 2,474.41 and 1,378.46 is: 1,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.26 : 2,474.41 = 1,378.46 : x
  2. Step 2: Convert to fraction form
    1,798.26/2,474.41 = 1,378.46/x
  3. Step 3: Cross multiply
    1,798.26x = 2,474.41 × 1,378.46
  4. Step 4: Simplify right side
    1,798.26x = 3,410,875.21
  5. Step 5: Solve for x
    x = 3,410,875.21/1,798.26
  6. Step 6: Final answer
    x = 1,896.76

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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.