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Finding the Fourth Proportional to 2,638.97, 3,641.84 and 1,460.03

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Solution

The fourth proportional to 2,638.97, 3,641.84 and 1,460.03 is: 2,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.97 : 3,641.84 = 1,460.03 : x
  2. Step 2: Convert to fraction form
    2,638.97/3,641.84 = 1,460.03/x
  3. Step 3: Cross multiply
    2,638.97x = 3,641.84 × 1,460.03
  4. Step 4: Simplify right side
    2,638.97x = 5,317,170.15
  5. Step 5: Solve for x
    x = 5,317,170.15/2,638.97
  6. Step 6: Final answer
    x = 2,014.87

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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.