Home / 1,942.07-2,911.19-771.39

Finding the Fourth Proportional to 1,942.07, 2,911.19 and 771.39

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Solution

The fourth proportional to 1,942.07, 2,911.19 and 771.39 is: 1,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.07 : 2,911.19 = 771.39 : x
  2. Step 2: Convert to fraction form
    1,942.07/2,911.19 = 771.39/x
  3. Step 3: Cross multiply
    1,942.07x = 2,911.19 × 771.39
  4. Step 4: Simplify right side
    1,942.07x = 2,245,659.00
  5. Step 5: Solve for x
    x = 2,245,659.00/1,942.07
  6. Step 6: Final answer
    x = 1,156.32

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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.