Home / 2,075.86-2,864.97-1,192

Finding the Fourth Proportional to 2,075.86, 2,864.97 and 1,192

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Solution

The fourth proportional to 2,075.86, 2,864.97 and 1,192 is: 1,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.86 : 2,864.97 = 1,192 : x
  2. Step 2: Convert to fraction form
    2,075.86/2,864.97 = 1,192/x
  3. Step 3: Cross multiply
    2,075.86x = 2,864.97 × 1,192
  4. Step 4: Simplify right side
    2,075.86x = 3,415,044.24
  5. Step 5: Solve for x
    x = 3,415,044.24/2,075.86
  6. Step 6: Final answer
    x = 1,645.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.