Home / 2,537.06-3,805.70-976.51

Finding the Fourth Proportional to 2,537.06, 3,805.70 and 976.51

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Solution

The fourth proportional to 2,537.06, 3,805.70 and 976.51 is: 1,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.06 : 3,805.70 = 976.51 : x
  2. Step 2: Convert to fraction form
    2,537.06/3,805.70 = 976.51/x
  3. Step 3: Cross multiply
    2,537.06x = 3,805.70 × 976.51
  4. Step 4: Simplify right side
    2,537.06x = 3,716,288.07
  5. Step 5: Solve for x
    x = 3,716,288.07/2,537.06
  6. Step 6: Final answer
    x = 1,464.80

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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.