Home / 2,161-2,982.06-1,276.60

Finding the Fourth Proportional to 2,161, 2,982.06 and 1,276.60

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Solution

The fourth proportional to 2,161, 2,982.06 and 1,276.60 is: 1,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161 : 2,982.06 = 1,276.60 : x
  2. Step 2: Convert to fraction form
    2,161/2,982.06 = 1,276.60/x
  3. Step 3: Cross multiply
    2,161x = 2,982.06 × 1,276.60
  4. Step 4: Simplify right side
    2,161x = 3,806,897.80
  5. Step 5: Solve for x
    x = 3,806,897.80/2,161
  6. Step 6: Final answer
    x = 1,761.64

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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.