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Finding the Fourth Proportional to 2,637.36, 3,638.22 and 2,449.76

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Solution

The fourth proportional to 2,637.36, 3,638.22 and 2,449.76 is: 3,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.36 : 3,638.22 = 2,449.76 : x
  2. Step 2: Convert to fraction form
    2,637.36/3,638.22 = 2,449.76/x
  3. Step 3: Cross multiply
    2,637.36x = 3,638.22 × 2,449.76
  4. Step 4: Simplify right side
    2,637.36x = 8,912,747.64
  5. Step 5: Solve for x
    x = 8,912,747.64/2,637.36
  6. Step 6: Final answer
    x = 3,379.42

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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.