Home / 2,075.16-3,110.52-775.92

Finding the Fourth Proportional to 2,075.16, 3,110.52 and 775.92

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Solution

The fourth proportional to 2,075.16, 3,110.52 and 775.92 is: 1,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.16 : 3,110.52 = 775.92 : x
  2. Step 2: Convert to fraction form
    2,075.16/3,110.52 = 775.92/x
  3. Step 3: Cross multiply
    2,075.16x = 3,110.52 × 775.92
  4. Step 4: Simplify right side
    2,075.16x = 2,413,514.68
  5. Step 5: Solve for x
    x = 2,413,514.68/2,075.16
  6. Step 6: Final answer
    x = 1,163.05

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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.