Home / 1,682.44-2,321.90-983.95

Finding the Fourth Proportional to 1,682.44, 2,321.90 and 983.95

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Solution

The fourth proportional to 1,682.44, 2,321.90 and 983.95 is: 1,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.44 : 2,321.90 = 983.95 : x
  2. Step 2: Convert to fraction form
    1,682.44/2,321.90 = 983.95/x
  3. Step 3: Cross multiply
    1,682.44x = 2,321.90 × 983.95
  4. Step 4: Simplify right side
    1,682.44x = 2,284,626.47
  5. Step 5: Solve for x
    x = 2,284,626.47/1,682.44
  6. Step 6: Final answer
    x = 1,357.93

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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.