Home / 2,070.14-3,105.41-771.30

Finding the Fourth Proportional to 2,070.14, 3,105.41 and 771.30

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Solution

The fourth proportional to 2,070.14, 3,105.41 and 771.30 is: 1,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.14 : 3,105.41 = 771.30 : x
  2. Step 2: Convert to fraction form
    2,070.14/3,105.41 = 771.30/x
  3. Step 3: Cross multiply
    2,070.14x = 3,105.41 × 771.30
  4. Step 4: Simplify right side
    2,070.14x = 2,395,198.88
  5. Step 5: Solve for x
    x = 2,395,198.88/2,070.14
  6. Step 6: Final answer
    x = 1,157.03

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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.