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Finding the Fourth Proportional to 1,975.44, 2,725.20 and 1,277.04

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Solution

The fourth proportional to 1,975.44, 2,725.20 and 1,277.04 is: 1,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.44 : 2,725.20 = 1,277.04 : x
  2. Step 2: Convert to fraction form
    1,975.44/2,725.20 = 1,277.04/x
  3. Step 3: Cross multiply
    1,975.44x = 2,725.20 × 1,277.04
  4. Step 4: Simplify right side
    1,975.44x = 3,480,189.41
  5. Step 5: Solve for x
    x = 3,480,189.41/1,975.44
  6. Step 6: Final answer
    x = 1,761.73

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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.