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Finding the Fourth Proportional to 2,001.93, 2,763.96 and 1,294.08

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Solution

The fourth proportional to 2,001.93, 2,763.96 and 1,294.08 is: 1,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.93 : 2,763.96 = 1,294.08 : x
  2. Step 2: Convert to fraction form
    2,001.93/2,763.96 = 1,294.08/x
  3. Step 3: Cross multiply
    2,001.93x = 2,763.96 × 1,294.08
  4. Step 4: Simplify right side
    2,001.93x = 3,576,785.36
  5. Step 5: Solve for x
    x = 3,576,785.36/2,001.93
  6. Step 6: Final answer
    x = 1,786.67

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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.