Home / 1,942.40-2,912.16-1,121.60

Finding the Fourth Proportional to 1,942.40, 2,912.16 and 1,121.60

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Solution

The fourth proportional to 1,942.40, 2,912.16 and 1,121.60 is: 1,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.40 : 2,912.16 = 1,121.60 : x
  2. Step 2: Convert to fraction form
    1,942.40/2,912.16 = 1,121.60/x
  3. Step 3: Cross multiply
    1,942.40x = 2,912.16 × 1,121.60
  4. Step 4: Simplify right side
    1,942.40x = 3,266,278.66
  5. Step 5: Solve for x
    x = 3,266,278.66/1,942.40
  6. Step 6: Final answer
    x = 1,681.57

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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.