Home / 1,530.82-2,296.23-376.57

Finding the Fourth Proportional to 1,530.82, 2,296.23 and 376.57

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Solution

The fourth proportional to 1,530.82, 2,296.23 and 376.57 is: 564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.82 : 2,296.23 = 376.57 : x
  2. Step 2: Convert to fraction form
    1,530.82/2,296.23 = 376.57/x
  3. Step 3: Cross multiply
    1,530.82x = 2,296.23 × 376.57
  4. Step 4: Simplify right side
    1,530.82x = 864,691.33
  5. Step 5: Solve for x
    x = 864,691.33/1,530.82
  6. Step 6: Final answer
    x = 564.86

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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.