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Finding the Fourth Proportional to 2,739.53, 4,106.28 and 1,277.48

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Solution

The fourth proportional to 2,739.53, 4,106.28 and 1,277.48 is: 1,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.53 : 4,106.28 = 1,277.48 : x
  2. Step 2: Convert to fraction form
    2,739.53/4,106.28 = 1,277.48/x
  3. Step 3: Cross multiply
    2,739.53x = 4,106.28 × 1,277.48
  4. Step 4: Simplify right side
    2,739.53x = 5,245,690.57
  5. Step 5: Solve for x
    x = 5,245,690.57/2,739.53
  6. Step 6: Final answer
    x = 1,914.81

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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.