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Finding the Fourth Proportional to 2,003.90, 2,998.96 and 1,383.44

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Solution

The fourth proportional to 2,003.90, 2,998.96 and 1,383.44 is: 2,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.90 : 2,998.96 = 1,383.44 : x
  2. Step 2: Convert to fraction form
    2,003.90/2,998.96 = 1,383.44/x
  3. Step 3: Cross multiply
    2,003.90x = 2,998.96 × 1,383.44
  4. Step 4: Simplify right side
    2,003.90x = 4,148,881.22
  5. Step 5: Solve for x
    x = 4,148,881.22/2,003.90
  6. Step 6: Final answer
    x = 2,070.40

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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.