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Finding the Fourth Proportional to 2,274.93, 3,138.30 and 1,975.79

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Solution

The fourth proportional to 2,274.93, 3,138.30 and 1,975.79 is: 2,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.93 : 3,138.30 = 1,975.79 : x
  2. Step 2: Convert to fraction form
    2,274.93/3,138.30 = 1,975.79/x
  3. Step 3: Cross multiply
    2,274.93x = 3,138.30 × 1,975.79
  4. Step 4: Simplify right side
    2,274.93x = 6,200,629.60
  5. Step 5: Solve for x
    x = 6,200,629.60/2,274.93
  6. Step 6: Final answer
    x = 2,725.64

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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.