Home / 2,083.23-3,109.64-1,820.49

Finding the Fourth Proportional to 2,083.23, 3,109.64 and 1,820.49

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Solution

The fourth proportional to 2,083.23, 3,109.64 and 1,820.49 is: 2,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.23 : 3,109.64 = 1,820.49 : x
  2. Step 2: Convert to fraction form
    2,083.23/3,109.64 = 1,820.49/x
  3. Step 3: Cross multiply
    2,083.23x = 3,109.64 × 1,820.49
  4. Step 4: Simplify right side
    2,083.23x = 5,661,068.52
  5. Step 5: Solve for x
    x = 5,661,068.52/2,083.23
  6. Step 6: Final answer
    x = 2,717.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.