Home / 1,538.19-2,308.44-797.73

Finding the Fourth Proportional to 1,538.19, 2,308.44 and 797.73

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Solution

The fourth proportional to 1,538.19, 2,308.44 and 797.73 is: 1,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.19 : 2,308.44 = 797.73 : x
  2. Step 2: Convert to fraction form
    1,538.19/2,308.44 = 797.73/x
  3. Step 3: Cross multiply
    1,538.19x = 2,308.44 × 797.73
  4. Step 4: Simplify right side
    1,538.19x = 1,841,511.84
  5. Step 5: Solve for x
    x = 1,841,511.84/1,538.19
  6. Step 6: Final answer
    x = 1,197.19

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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.