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Finding the Fourth Proportional to 2,673.81, 3,689.82 and 1,478.79

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Solution

The fourth proportional to 2,673.81, 3,689.82 and 1,478.79 is: 2,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.81 : 3,689.82 = 1,478.79 : x
  2. Step 2: Convert to fraction form
    2,673.81/3,689.82 = 1,478.79/x
  3. Step 3: Cross multiply
    2,673.81x = 3,689.82 × 1,478.79
  4. Step 4: Simplify right side
    2,673.81x = 5,456,468.92
  5. Step 5: Solve for x
    x = 5,456,468.92/2,673.81
  6. Step 6: Final answer
    x = 2,040.71

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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.