Home / 1,645.74-2,271.24-982.62

Finding the Fourth Proportional to 1,645.74, 2,271.24 and 982.62

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Solution

The fourth proportional to 1,645.74, 2,271.24 and 982.62 is: 1,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.74 : 2,271.24 = 982.62 : x
  2. Step 2: Convert to fraction form
    1,645.74/2,271.24 = 982.62/x
  3. Step 3: Cross multiply
    1,645.74x = 2,271.24 × 982.62
  4. Step 4: Simplify right side
    1,645.74x = 2,231,765.85
  5. Step 5: Solve for x
    x = 2,231,765.85/1,645.74
  6. Step 6: Final answer
    x = 1,356.09

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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.