Home / 2,154.16-3,231.26-693.43

Finding the Fourth Proportional to 2,154.16, 3,231.26 and 693.43

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Solution

The fourth proportional to 2,154.16, 3,231.26 and 693.43 is: 1,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.16 : 3,231.26 = 693.43 : x
  2. Step 2: Convert to fraction form
    2,154.16/3,231.26 = 693.43/x
  3. Step 3: Cross multiply
    2,154.16x = 3,231.26 × 693.43
  4. Step 4: Simplify right side
    2,154.16x = 2,240,643.68
  5. Step 5: Solve for x
    x = 2,240,643.68/2,154.16
  6. Step 6: Final answer
    x = 1,040.15

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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.