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Finding the Fourth Proportional to 2,128.33, 3,177.23 and 1,851.49

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Solution

The fourth proportional to 2,128.33, 3,177.23 and 1,851.49 is: 2,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.33 : 3,177.23 = 1,851.49 : x
  2. Step 2: Convert to fraction form
    2,128.33/3,177.23 = 1,851.49/x
  3. Step 3: Cross multiply
    2,128.33x = 3,177.23 × 1,851.49
  4. Step 4: Simplify right side
    2,128.33x = 5,882,609.57
  5. Step 5: Solve for x
    x = 5,882,609.57/2,128.33
  6. Step 6: Final answer
    x = 2,763.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.