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Finding the Fourth Proportional to 3,193.88, 4,785.06 and 1,823

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Solution

The fourth proportional to 3,193.88, 4,785.06 and 1,823 is: 2,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.88 : 4,785.06 = 1,823 : x
  2. Step 2: Convert to fraction form
    3,193.88/4,785.06 = 1,823/x
  3. Step 3: Cross multiply
    3,193.88x = 4,785.06 × 1,823
  4. Step 4: Simplify right side
    3,193.88x = 8,723,164.38
  5. Step 5: Solve for x
    x = 8,723,164.38/3,193.88
  6. Step 6: Final answer
    x = 2,731.21

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