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Finding the Fourth Proportional to 2,711.81, 3,741.17 and 1,826.08

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Solution

The fourth proportional to 2,711.81, 3,741.17 and 1,826.08 is: 2,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.81 : 3,741.17 = 1,826.08 : x
  2. Step 2: Convert to fraction form
    2,711.81/3,741.17 = 1,826.08/x
  3. Step 3: Cross multiply
    2,711.81x = 3,741.17 × 1,826.08
  4. Step 4: Simplify right side
    2,711.81x = 6,831,657.23
  5. Step 5: Solve for x
    x = 6,831,657.23/2,711.81
  6. Step 6: Final answer
    x = 2,519.22

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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.