Home / 2,738.40-4,109.44-2,005.76

Finding the Fourth Proportional to 2,738.40, 4,109.44 and 2,005.76

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Solution

The fourth proportional to 2,738.40, 4,109.44 and 2,005.76 is: 3,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.40 : 4,109.44 = 2,005.76 : x
  2. Step 2: Convert to fraction form
    2,738.40/4,109.44 = 2,005.76/x
  3. Step 3: Cross multiply
    2,738.40x = 4,109.44 × 2,005.76
  4. Step 4: Simplify right side
    2,738.40x = 8,242,550.37
  5. Step 5: Solve for x
    x = 8,242,550.37/2,738.40
  6. Step 6: Final answer
    x = 3,009.99

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1.5x scale

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.