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Finding the Fourth Proportional to 2,741.81, 4,107.84 and 1,871.87

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Solution

The fourth proportional to 2,741.81, 4,107.84 and 1,871.87 is: 2,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.81 : 4,107.84 = 1,871.87 : x
  2. Step 2: Convert to fraction form
    2,741.81/4,107.84 = 1,871.87/x
  3. Step 3: Cross multiply
    2,741.81x = 4,107.84 × 1,871.87
  4. Step 4: Simplify right side
    2,741.81x = 7,689,321.92
  5. Step 5: Solve for x
    x = 7,689,321.92/2,741.81
  6. Step 6: Final answer
    x = 2,804.47

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Why These Related Problems?

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