Home / 2,122-2,928.40-1,190.48

Finding the Fourth Proportional to 2,122, 2,928.40 and 1,190.48

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Solution

The fourth proportional to 2,122, 2,928.40 and 1,190.48 is: 1,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122 : 2,928.40 = 1,190.48 : x
  2. Step 2: Convert to fraction form
    2,122/2,928.40 = 1,190.48/x
  3. Step 3: Cross multiply
    2,122x = 2,928.40 × 1,190.48
  4. Step 4: Simplify right side
    2,122x = 3,486,201.63
  5. Step 5: Solve for x
    x = 3,486,201.63/2,122
  6. Step 6: Final answer
    x = 1,642.88

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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.