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Finding the Fourth Proportional to 3,409.44, 4,705.20 and 2,012.16

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Solution

The fourth proportional to 3,409.44, 4,705.20 and 2,012.16 is: 2,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.44 : 4,705.20 = 2,012.16 : x
  2. Step 2: Convert to fraction form
    3,409.44/4,705.20 = 2,012.16/x
  3. Step 3: Cross multiply
    3,409.44x = 4,705.20 × 2,012.16
  4. Step 4: Simplify right side
    3,409.44x = 9,467,615.23
  5. Step 5: Solve for x
    x = 9,467,615.23/3,409.44
  6. Step 6: Final answer
    x = 2,776.88

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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.