Home / 2,975.23-4,105.82-1,648.95

Finding the Fourth Proportional to 2,975.23, 4,105.82 and 1,648.95

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Solution

The fourth proportional to 2,975.23, 4,105.82 and 1,648.95 is: 2,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.23 : 4,105.82 = 1,648.95 : x
  2. Step 2: Convert to fraction form
    2,975.23/4,105.82 = 1,648.95/x
  3. Step 3: Cross multiply
    2,975.23x = 4,105.82 × 1,648.95
  4. Step 4: Simplify right side
    2,975.23x = 6,770,291.89
  5. Step 5: Solve for x
    x = 6,770,291.89/2,975.23
  6. Step 6: Final answer
    x = 2,275.56

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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.