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Finding the Fourth Proportional to 2,638.98, 3,641.67 and 1,443.93

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Solution

The fourth proportional to 2,638.98, 3,641.67 and 1,443.93 is: 1,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.98 : 3,641.67 = 1,443.93 : x
  2. Step 2: Convert to fraction form
    2,638.98/3,641.67 = 1,443.93/x
  3. Step 3: Cross multiply
    2,638.98x = 3,641.67 × 1,443.93
  4. Step 4: Simplify right side
    2,638.98x = 5,258,316.56
  5. Step 5: Solve for x
    x = 5,258,316.56/2,638.98
  6. Step 6: Final answer
    x = 1,992.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.