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Finding the Fourth Proportional to 1,344.44, 2,016.70 and 419.92

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Solution

The fourth proportional to 1,344.44, 2,016.70 and 419.92 is: 629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.44 : 2,016.70 = 419.92 : x
  2. Step 2: Convert to fraction form
    1,344.44/2,016.70 = 419.92/x
  3. Step 3: Cross multiply
    1,344.44x = 2,016.70 × 419.92
  4. Step 4: Simplify right side
    1,344.44x = 846,852.66
  5. Step 5: Solve for x
    x = 846,852.66/1,344.44
  6. Step 6: Final answer
    x = 629.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.