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Finding the Fourth Proportional to 2,721.68, 3,763.46 and 2,161.16

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Solution

The fourth proportional to 2,721.68, 3,763.46 and 2,161.16 is: 2,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.68 : 3,763.46 = 2,161.16 : x
  2. Step 2: Convert to fraction form
    2,721.68/3,763.46 = 2,161.16/x
  3. Step 3: Cross multiply
    2,721.68x = 3,763.46 × 2,161.16
  4. Step 4: Simplify right side
    2,721.68x = 8,133,454.03
  5. Step 5: Solve for x
    x = 8,133,454.03/2,721.68
  6. Step 6: Final answer
    x = 2,988.39

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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.