Home / 1,944.24-2,670-1,664.46

Finding the Fourth Proportional to 1,944.24, 2,670 and 1,664.46

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Solution

The fourth proportional to 1,944.24, 2,670 and 1,664.46 is: 2,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.24 : 2,670 = 1,664.46 : x
  2. Step 2: Convert to fraction form
    1,944.24/2,670 = 1,664.46/x
  3. Step 3: Cross multiply
    1,944.24x = 2,670 × 1,664.46
  4. Step 4: Simplify right side
    1,944.24x = 4,444,108.20
  5. Step 5: Solve for x
    x = 4,444,108.20/1,944.24
  6. Step 6: Final answer
    x = 2,285.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.