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Finding the Fourth Proportional to 2,638.85, 3,641.50 and 1,443.81

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Solution

The fourth proportional to 2,638.85, 3,641.50 and 1,443.81 is: 1,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.85 : 3,641.50 = 1,443.81 : x
  2. Step 2: Convert to fraction form
    2,638.85/3,641.50 = 1,443.81/x
  3. Step 3: Cross multiply
    2,638.85x = 3,641.50 × 1,443.81
  4. Step 4: Simplify right side
    2,638.85x = 5,257,630.51
  5. Step 5: Solve for x
    x = 5,257,630.51/2,638.85
  6. Step 6: Final answer
    x = 1,992.39

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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.