Home / 2,083.66-3,121.89-1,106.80

Finding the Fourth Proportional to 2,083.66, 3,121.89 and 1,106.80

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Solution

The fourth proportional to 2,083.66, 3,121.89 and 1,106.80 is: 1,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.66 : 3,121.89 = 1,106.80 : x
  2. Step 2: Convert to fraction form
    2,083.66/3,121.89 = 1,106.80/x
  3. Step 3: Cross multiply
    2,083.66x = 3,121.89 × 1,106.80
  4. Step 4: Simplify right side
    2,083.66x = 3,455,307.85
  5. Step 5: Solve for x
    x = 3,455,307.85/2,083.66
  6. Step 6: Final answer
    x = 1,658.29

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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.