Home / 3,174.16-4,761.24-982.84

Finding the Fourth Proportional to 3,174.16, 4,761.24 and 982.84

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Solution

The fourth proportional to 3,174.16, 4,761.24 and 982.84 is: 1,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.16 : 4,761.24 = 982.84 : x
  2. Step 2: Convert to fraction form
    3,174.16/4,761.24 = 982.84/x
  3. Step 3: Cross multiply
    3,174.16x = 4,761.24 × 982.84
  4. Step 4: Simplify right side
    3,174.16x = 4,679,537.12
  5. Step 5: Solve for x
    x = 4,679,537.12/3,174.16
  6. Step 6: Final answer
    x = 1,474.26

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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.