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Finding the Fourth Proportional to 2,001.44, 2,998.50 and 1,383.40

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Solution

The fourth proportional to 2,001.44, 2,998.50 and 1,383.40 is: 2,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.44 : 2,998.50 = 1,383.40 : x
  2. Step 2: Convert to fraction form
    2,001.44/2,998.50 = 1,383.40/x
  3. Step 3: Cross multiply
    2,001.44x = 2,998.50 × 1,383.40
  4. Step 4: Simplify right side
    2,001.44x = 4,148,124.90
  5. Step 5: Solve for x
    x = 4,148,124.90/2,001.44
  6. Step 6: Final answer
    x = 2,072.57

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Why These Related Problems?

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