Home / 3,173.96-4,761.66-982.46

Finding the Fourth Proportional to 3,173.96, 4,761.66 and 982.46

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Solution

The fourth proportional to 3,173.96, 4,761.66 and 982.46 is: 1,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.96 : 4,761.66 = 982.46 : x
  2. Step 2: Convert to fraction form
    3,173.96/4,761.66 = 982.46/x
  3. Step 3: Cross multiply
    3,173.96x = 4,761.66 × 982.46
  4. Step 4: Simplify right side
    3,173.96x = 4,678,140.48
  5. Step 5: Solve for x
    x = 4,678,140.48/3,173.96
  6. Step 6: Final answer
    x = 1,473.91

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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.