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Finding the Fourth Proportional to 2,813.71, 3,884.45 and 1,694.89

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Solution

The fourth proportional to 2,813.71, 3,884.45 and 1,694.89 is: 2,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.71 : 3,884.45 = 1,694.89 : x
  2. Step 2: Convert to fraction form
    2,813.71/3,884.45 = 1,694.89/x
  3. Step 3: Cross multiply
    2,813.71x = 3,884.45 × 1,694.89
  4. Step 4: Simplify right side
    2,813.71x = 6,583,715.46
  5. Step 5: Solve for x
    x = 6,583,715.46/2,813.71
  6. Step 6: Final answer
    x = 2,339.87

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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.