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Finding the Fourth Proportional to 1,493.94, 2,059.25 and 1,198.74

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Solution

The fourth proportional to 1,493.94, 2,059.25 and 1,198.74 is: 1,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.94 : 2,059.25 = 1,198.74 : x
  2. Step 2: Convert to fraction form
    1,493.94/2,059.25 = 1,198.74/x
  3. Step 3: Cross multiply
    1,493.94x = 2,059.25 × 1,198.74
  4. Step 4: Simplify right side
    1,493.94x = 2,468,505.35
  5. Step 5: Solve for x
    x = 2,468,505.35/1,493.94
  6. Step 6: Final answer
    x = 1,652.35

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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.