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Finding the Fourth Proportional to 1,990.22, 2,743.58 and 1,243.84

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Solution

The fourth proportional to 1,990.22, 2,743.58 and 1,243.84 is: 1,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.22 : 2,743.58 = 1,243.84 : x
  2. Step 2: Convert to fraction form
    1,990.22/2,743.58 = 1,243.84/x
  3. Step 3: Cross multiply
    1,990.22x = 2,743.58 × 1,243.84
  4. Step 4: Simplify right side
    1,990.22x = 3,412,574.55
  5. Step 5: Solve for x
    x = 3,412,574.55/1,990.22
  6. Step 6: Final answer
    x = 1,714.67

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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.