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Finding the Fourth Proportional to 2,712.54, 3,741.96 and 1,826.81

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Solution

The fourth proportional to 2,712.54, 3,741.96 and 1,826.81 is: 2,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.54 : 3,741.96 = 1,826.81 : x
  2. Step 2: Convert to fraction form
    2,712.54/3,741.96 = 1,826.81/x
  3. Step 3: Cross multiply
    2,712.54x = 3,741.96 × 1,826.81
  4. Step 4: Simplify right side
    2,712.54x = 6,835,849.95
  5. Step 5: Solve for x
    x = 6,835,849.95/2,712.54
  6. Step 6: Final answer
    x = 2,520.09

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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.