Home / 2,297.67-3,445.02-982.28

Finding the Fourth Proportional to 2,297.67, 3,445.02 and 982.28

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Solution

The fourth proportional to 2,297.67, 3,445.02 and 982.28 is: 1,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.67 : 3,445.02 = 982.28 : x
  2. Step 2: Convert to fraction form
    2,297.67/3,445.02 = 982.28/x
  3. Step 3: Cross multiply
    2,297.67x = 3,445.02 × 982.28
  4. Step 4: Simplify right side
    2,297.67x = 3,383,976.70
  5. Step 5: Solve for x
    x = 3,383,976.70/2,297.67
  6. Step 6: Final answer
    x = 1,472.79

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1.5x scale

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.