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Finding the Fourth Proportional to 1,336.75, 1,990.46 and 1,322.06

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Solution

The fourth proportional to 1,336.75, 1,990.46 and 1,322.06 is: 1,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.75 : 1,990.46 = 1,322.06 : x
  2. Step 2: Convert to fraction form
    1,336.75/1,990.46 = 1,322.06/x
  3. Step 3: Cross multiply
    1,336.75x = 1,990.46 × 1,322.06
  4. Step 4: Simplify right side
    1,336.75x = 2,631,500.90
  5. Step 5: Solve for x
    x = 2,631,500.90/1,336.75
  6. Step 6: Final answer
    x = 1,968.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.