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Finding the Fourth Proportional to 2,980.44, 4,113.74 and 1,722.22

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Solution

The fourth proportional to 2,980.44, 4,113.74 and 1,722.22 is: 2,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.44 : 4,113.74 = 1,722.22 : x
  2. Step 2: Convert to fraction form
    2,980.44/4,113.74 = 1,722.22/x
  3. Step 3: Cross multiply
    2,980.44x = 4,113.74 × 1,722.22
  4. Step 4: Simplify right side
    2,980.44x = 7,084,765.30
  5. Step 5: Solve for x
    x = 7,084,765.30/2,980.44
  6. Step 6: Final answer
    x = 2,377.09

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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.