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Finding the Fourth Proportional to 2,582.66, 3,872.82 and 939.20

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Solution

The fourth proportional to 2,582.66, 3,872.82 and 939.20 is: 1,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.66 : 3,872.82 = 939.20 : x
  2. Step 2: Convert to fraction form
    2,582.66/3,872.82 = 939.20/x
  3. Step 3: Cross multiply
    2,582.66x = 3,872.82 × 939.20
  4. Step 4: Simplify right side
    2,582.66x = 3,637,352.54
  5. Step 5: Solve for x
    x = 3,637,352.54/2,582.66
  6. Step 6: Final answer
    x = 1,408.37

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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.