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Finding the Fourth Proportional to 1,914.96, 2,638.68 and 1,540.44

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Solution

The fourth proportional to 1,914.96, 2,638.68 and 1,540.44 is: 2,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.96 : 2,638.68 = 1,540.44 : x
  2. Step 2: Convert to fraction form
    1,914.96/2,638.68 = 1,540.44/x
  3. Step 3: Cross multiply
    1,914.96x = 2,638.68 × 1,540.44
  4. Step 4: Simplify right side
    1,914.96x = 4,064,728.22
  5. Step 5: Solve for x
    x = 4,064,728.22/1,914.96
  6. Step 6: Final answer
    x = 2,122.62

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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.