Home / 2,071.44-3,106.25-1,097.31

Finding the Fourth Proportional to 2,071.44, 3,106.25 and 1,097.31

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Solution

The fourth proportional to 2,071.44, 3,106.25 and 1,097.31 is: 1,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.44 : 3,106.25 = 1,097.31 : x
  2. Step 2: Convert to fraction form
    2,071.44/3,106.25 = 1,097.31/x
  3. Step 3: Cross multiply
    2,071.44x = 3,106.25 × 1,097.31
  4. Step 4: Simplify right side
    2,071.44x = 3,408,529.46
  5. Step 5: Solve for x
    x = 3,408,529.46/2,071.44
  6. Step 6: Final answer
    x = 1,645.49

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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.