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Finding the Fourth Proportional to 1,930.05, 2,893.64 and 1,381.89

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Solution

The fourth proportional to 1,930.05, 2,893.64 and 1,381.89 is: 2,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.05 : 2,893.64 = 1,381.89 : x
  2. Step 2: Convert to fraction form
    1,930.05/2,893.64 = 1,381.89/x
  3. Step 3: Cross multiply
    1,930.05x = 2,893.64 × 1,381.89
  4. Step 4: Simplify right side
    1,930.05x = 3,998,685.27
  5. Step 5: Solve for x
    x = 3,998,685.27/1,930.05
  6. Step 6: Final answer
    x = 2,071.80

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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.