Home / 1,682.32-2,321.70-1,019.34

Finding the Fourth Proportional to 1,682.32, 2,321.70 and 1,019.34

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Solution

The fourth proportional to 1,682.32, 2,321.70 and 1,019.34 is: 1,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.32 : 2,321.70 = 1,019.34 : x
  2. Step 2: Convert to fraction form
    1,682.32/2,321.70 = 1,019.34/x
  3. Step 3: Cross multiply
    1,682.32x = 2,321.70 × 1,019.34
  4. Step 4: Simplify right side
    1,682.32x = 2,366,601.68
  5. Step 5: Solve for x
    x = 2,366,601.68/1,682.32
  6. Step 6: Final answer
    x = 1,406.75

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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.