Home / 2,048.25-3,071.97-1,122.96

Finding the Fourth Proportional to 2,048.25, 3,071.97 and 1,122.96

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Solution

The fourth proportional to 2,048.25, 3,071.97 and 1,122.96 is: 1,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.25 : 3,071.97 = 1,122.96 : x
  2. Step 2: Convert to fraction form
    2,048.25/3,071.97 = 1,122.96/x
  3. Step 3: Cross multiply
    2,048.25x = 3,071.97 × 1,122.96
  4. Step 4: Simplify right side
    2,048.25x = 3,449,699.43
  5. Step 5: Solve for x
    x = 3,449,699.43/2,048.25
  6. Step 6: Final answer
    x = 1,684.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.