Home / 2,106.36-3,159-1,117.83

Finding the Fourth Proportional to 2,106.36, 3,159 and 1,117.83

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Solution

The fourth proportional to 2,106.36, 3,159 and 1,117.83 is: 1,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.36 : 3,159 = 1,117.83 : x
  2. Step 2: Convert to fraction form
    2,106.36/3,159 = 1,117.83/x
  3. Step 3: Cross multiply
    2,106.36x = 3,159 × 1,117.83
  4. Step 4: Simplify right side
    2,106.36x = 3,531,224.97
  5. Step 5: Solve for x
    x = 3,531,224.97/2,106.36
  6. Step 6: Final answer
    x = 1,676.46

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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.