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Finding the Fourth Proportional to 2,041.56, 3,055.86 and 1,462.68

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Solution

The fourth proportional to 2,041.56, 3,055.86 and 1,462.68 is: 2,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.56 : 3,055.86 = 1,462.68 : x
  2. Step 2: Convert to fraction form
    2,041.56/3,055.86 = 1,462.68/x
  3. Step 3: Cross multiply
    2,041.56x = 3,055.86 × 1,462.68
  4. Step 4: Simplify right side
    2,041.56x = 4,469,745.30
  5. Step 5: Solve for x
    x = 4,469,745.30/2,041.56
  6. Step 6: Final answer
    x = 2,189.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.