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Finding the Fourth Proportional to 2,987.56, 4,123.20 and 1,939.24

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Solution

The fourth proportional to 2,987.56, 4,123.20 and 1,939.24 is: 2,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.56 : 4,123.20 = 1,939.24 : x
  2. Step 2: Convert to fraction form
    2,987.56/4,123.20 = 1,939.24/x
  3. Step 3: Cross multiply
    2,987.56x = 4,123.20 × 1,939.24
  4. Step 4: Simplify right side
    2,987.56x = 7,995,874.37
  5. Step 5: Solve for x
    x = 7,995,874.37/2,987.56
  6. Step 6: Final answer
    x = 2,676.39

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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.