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Finding the Fourth Proportional to 2,486.72, 3,431.90 and 1,424.83

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Solution

The fourth proportional to 2,486.72, 3,431.90 and 1,424.83 is: 1,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.72 : 3,431.90 = 1,424.83 : x
  2. Step 2: Convert to fraction form
    2,486.72/3,431.90 = 1,424.83/x
  3. Step 3: Cross multiply
    2,486.72x = 3,431.90 × 1,424.83
  4. Step 4: Simplify right side
    2,486.72x = 4,889,858.37
  5. Step 5: Solve for x
    x = 4,889,858.37/2,486.72
  6. Step 6: Final answer
    x = 1,966.39

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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.