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Finding the Fourth Proportional to 2,724.99, 3,760.58 and 1,546.11

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Solution

The fourth proportional to 2,724.99, 3,760.58 and 1,546.11 is: 2,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.99 : 3,760.58 = 1,546.11 : x
  2. Step 2: Convert to fraction form
    2,724.99/3,760.58 = 1,546.11/x
  3. Step 3: Cross multiply
    2,724.99x = 3,760.58 × 1,546.11
  4. Step 4: Simplify right side
    2,724.99x = 5,814,262.61
  5. Step 5: Solve for x
    x = 5,814,262.61/2,724.99
  6. Step 6: Final answer
    x = 2,133.68

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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.