Home / 2,537.05-3,805.68-976.53

Finding the Fourth Proportional to 2,537.05, 3,805.68 and 976.53

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Solution

The fourth proportional to 2,537.05, 3,805.68 and 976.53 is: 1,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.05 : 3,805.68 = 976.53 : x
  2. Step 2: Convert to fraction form
    2,537.05/3,805.68 = 976.53/x
  3. Step 3: Cross multiply
    2,537.05x = 3,805.68 × 976.53
  4. Step 4: Simplify right side
    2,537.05x = 3,716,367.92
  5. Step 5: Solve for x
    x = 3,716,367.92/2,537.05
  6. Step 6: Final answer
    x = 1,464.84

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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.