Home / 1,769.75-2,442.26-983.96

Finding the Fourth Proportional to 1,769.75, 2,442.26 and 983.96

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Solution

The fourth proportional to 1,769.75, 2,442.26 and 983.96 is: 1,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.75 : 2,442.26 = 983.96 : x
  2. Step 2: Convert to fraction form
    1,769.75/2,442.26 = 983.96/x
  3. Step 3: Cross multiply
    1,769.75x = 2,442.26 × 983.96
  4. Step 4: Simplify right side
    1,769.75x = 2,403,069.02
  5. Step 5: Solve for x
    x = 2,403,069.02/1,769.75
  6. Step 6: Final answer
    x = 1,357.86

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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.