Home / 1,698.24-2,548.26-821.82

Finding the Fourth Proportional to 1,698.24, 2,548.26 and 821.82

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Solution

The fourth proportional to 1,698.24, 2,548.26 and 821.82 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.24 : 2,548.26 = 821.82 : x
  2. Step 2: Convert to fraction form
    1,698.24/2,548.26 = 821.82/x
  3. Step 3: Cross multiply
    1,698.24x = 2,548.26 × 821.82
  4. Step 4: Simplify right side
    1,698.24x = 2,094,211.03
  5. Step 5: Solve for x
    x = 2,094,211.03/1,698.24
  6. Step 6: Final answer
    x = 1,233.17

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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.