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Finding the Fourth Proportional to 2,963.43, 4,087.23 and 1,913.67

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Solution

The fourth proportional to 2,963.43, 4,087.23 and 1,913.67 is: 2,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.43 : 4,087.23 = 1,913.67 : x
  2. Step 2: Convert to fraction form
    2,963.43/4,087.23 = 1,913.67/x
  3. Step 3: Cross multiply
    2,963.43x = 4,087.23 × 1,913.67
  4. Step 4: Simplify right side
    2,963.43x = 7,821,609.43
  5. Step 5: Solve for x
    x = 7,821,609.43/2,963.43
  6. Step 6: Final answer
    x = 2,639.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.