Home / 2,102.54-3,149.70-1,546.22

Finding the Fourth Proportional to 2,102.54, 3,149.70 and 1,546.22

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Solution

The fourth proportional to 2,102.54, 3,149.70 and 1,546.22 is: 2,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.54 : 3,149.70 = 1,546.22 : x
  2. Step 2: Convert to fraction form
    2,102.54/3,149.70 = 1,546.22/x
  3. Step 3: Cross multiply
    2,102.54x = 3,149.70 × 1,546.22
  4. Step 4: Simplify right side
    2,102.54x = 4,870,129.13
  5. Step 5: Solve for x
    x = 4,870,129.13/2,102.54
  6. Step 6: Final answer
    x = 2,316.31

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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.