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Finding the Fourth Proportional to 2,719.53, 3,752.96 and 1,540.98

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Solution

The fourth proportional to 2,719.53, 3,752.96 and 1,540.98 is: 2,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.53 : 3,752.96 = 1,540.98 : x
  2. Step 2: Convert to fraction form
    2,719.53/3,752.96 = 1,540.98/x
  3. Step 3: Cross multiply
    2,719.53x = 3,752.96 × 1,540.98
  4. Step 4: Simplify right side
    2,719.53x = 5,783,236.30
  5. Step 5: Solve for x
    x = 5,783,236.30/2,719.53
  6. Step 6: Final answer
    x = 2,126.56

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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.