Home / 2,102.06-3,150.75-1,004.06

Finding the Fourth Proportional to 2,102.06, 3,150.75 and 1,004.06

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Solution

The fourth proportional to 2,102.06, 3,150.75 and 1,004.06 is: 1,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.06 : 3,150.75 = 1,004.06 : x
  2. Step 2: Convert to fraction form
    2,102.06/3,150.75 = 1,004.06/x
  3. Step 3: Cross multiply
    2,102.06x = 3,150.75 × 1,004.06
  4. Step 4: Simplify right side
    2,102.06x = 3,163,542.05
  5. Step 5: Solve for x
    x = 3,163,542.05/2,102.06
  6. Step 6: Final answer
    x = 1,504.97

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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.