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Finding the Fourth Proportional to 1,954.33, 2,927.03 and 1,222.09

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Solution

The fourth proportional to 1,954.33, 2,927.03 and 1,222.09 is: 1,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.33 : 2,927.03 = 1,222.09 : x
  2. Step 2: Convert to fraction form
    1,954.33/2,927.03 = 1,222.09/x
  3. Step 3: Cross multiply
    1,954.33x = 2,927.03 × 1,222.09
  4. Step 4: Simplify right side
    1,954.33x = 3,577,094.09
  5. Step 5: Solve for x
    x = 3,577,094.09/1,954.33
  6. Step 6: Final answer
    x = 1,830.34

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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.