Home / 1,864.23-2,796.29-767.77

Finding the Fourth Proportional to 1,864.23, 2,796.29 and 767.77

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Solution

The fourth proportional to 1,864.23, 2,796.29 and 767.77 is: 1,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.23 : 2,796.29 = 767.77 : x
  2. Step 2: Convert to fraction form
    1,864.23/2,796.29 = 767.77/x
  3. Step 3: Cross multiply
    1,864.23x = 2,796.29 × 767.77
  4. Step 4: Simplify right side
    1,864.23x = 2,146,907.57
  5. Step 5: Solve for x
    x = 2,146,907.57/1,864.23
  6. Step 6: Final answer
    x = 1,151.63

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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.