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Finding the Fourth Proportional to 1,975.62, 2,963.19 and 742.71

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Solution

The fourth proportional to 1,975.62, 2,963.19 and 742.71 is: 1,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.62 : 2,963.19 = 742.71 : x
  2. Step 2: Convert to fraction form
    1,975.62/2,963.19 = 742.71/x
  3. Step 3: Cross multiply
    1,975.62x = 2,963.19 × 742.71
  4. Step 4: Simplify right side
    1,975.62x = 2,200,790.84
  5. Step 5: Solve for x
    x = 2,200,790.84/1,975.62
  6. Step 6: Final answer
    x = 1,113.97

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Why These Related Problems?

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