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Finding the Fourth Proportional to 1,990.86, 2,738.25 and 1,597.02

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Solution

The fourth proportional to 1,990.86, 2,738.25 and 1,597.02 is: 2,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.86 : 2,738.25 = 1,597.02 : x
  2. Step 2: Convert to fraction form
    1,990.86/2,738.25 = 1,597.02/x
  3. Step 3: Cross multiply
    1,990.86x = 2,738.25 × 1,597.02
  4. Step 4: Simplify right side
    1,990.86x = 4,373,040.02
  5. Step 5: Solve for x
    x = 4,373,040.02/1,990.86
  6. Step 6: Final answer
    x = 2,196.56

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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.