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Finding the Fourth Proportional to 2,731.22, 3,769.08 and 1,489.22

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Solution

The fourth proportional to 2,731.22, 3,769.08 and 1,489.22 is: 2,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.22 : 3,769.08 = 1,489.22 : x
  2. Step 2: Convert to fraction form
    2,731.22/3,769.08 = 1,489.22/x
  3. Step 3: Cross multiply
    2,731.22x = 3,769.08 × 1,489.22
  4. Step 4: Simplify right side
    2,731.22x = 5,612,987.40
  5. Step 5: Solve for x
    x = 5,612,987.40/2,731.22
  6. Step 6: Final answer
    x = 2,055.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.