Home / 1,683.05-2,321.46-984.02

Finding the Fourth Proportional to 1,683.05, 2,321.46 and 984.02

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Solution

The fourth proportional to 1,683.05, 2,321.46 and 984.02 is: 1,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.05 : 2,321.46 = 984.02 : x
  2. Step 2: Convert to fraction form
    1,683.05/2,321.46 = 984.02/x
  3. Step 3: Cross multiply
    1,683.05x = 2,321.46 × 984.02
  4. Step 4: Simplify right side
    1,683.05x = 2,284,351.46
  5. Step 5: Solve for x
    x = 2,284,351.46/1,683.05
  6. Step 6: Final answer
    x = 1,357.27

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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.