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Finding the Fourth Proportional to 2,708.44, 4,056.99 and 1,729.56

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Solution

The fourth proportional to 2,708.44, 4,056.99 and 1,729.56 is: 2,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.44 : 4,056.99 = 1,729.56 : x
  2. Step 2: Convert to fraction form
    2,708.44/4,056.99 = 1,729.56/x
  3. Step 3: Cross multiply
    2,708.44x = 4,056.99 × 1,729.56
  4. Step 4: Simplify right side
    2,708.44x = 7,016,807.62
  5. Step 5: Solve for x
    x = 7,016,807.62/2,708.44
  6. Step 6: Final answer
    x = 2,590.72

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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.