Home / 2,973.08-4,106.10-1,982.56

Finding the Fourth Proportional to 2,973.08, 4,106.10 and 1,982.56

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Solution

The fourth proportional to 2,973.08, 4,106.10 and 1,982.56 is: 2,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.08 : 4,106.10 = 1,982.56 : x
  2. Step 2: Convert to fraction form
    2,973.08/4,106.10 = 1,982.56/x
  3. Step 3: Cross multiply
    2,973.08x = 4,106.10 × 1,982.56
  4. Step 4: Simplify right side
    2,973.08x = 8,140,589.62
  5. Step 5: Solve for x
    x = 8,140,589.62/2,973.08
  6. Step 6: Final answer
    x = 2,738.10

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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.