Home / 2,975.36-4,105.94-1,649.06

Finding the Fourth Proportional to 2,975.36, 4,105.94 and 1,649.06

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Solution

The fourth proportional to 2,975.36, 4,105.94 and 1,649.06 is: 2,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.36 : 4,105.94 = 1,649.06 : x
  2. Step 2: Convert to fraction form
    2,975.36/4,105.94 = 1,649.06/x
  3. Step 3: Cross multiply
    2,975.36x = 4,105.94 × 1,649.06
  4. Step 4: Simplify right side
    2,975.36x = 6,770,941.42
  5. Step 5: Solve for x
    x = 6,770,941.42/2,975.36
  6. Step 6: Final answer
    x = 2,275.67

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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.