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Finding the Fourth Proportional to 2,672.38, 3,687.61 and 1,833.81

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Solution

The fourth proportional to 2,672.38, 3,687.61 and 1,833.81 is: 2,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.38 : 3,687.61 = 1,833.81 : x
  2. Step 2: Convert to fraction form
    2,672.38/3,687.61 = 1,833.81/x
  3. Step 3: Cross multiply
    2,672.38x = 3,687.61 × 1,833.81
  4. Step 4: Simplify right side
    2,672.38x = 6,762,376.09
  5. Step 5: Solve for x
    x = 6,762,376.09/2,672.38
  6. Step 6: Final answer
    x = 2,530.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.