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Finding the Fourth Proportional to 1,873.96, 2,809.02 and 1,180.36

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Solution

The fourth proportional to 1,873.96, 2,809.02 and 1,180.36 is: 1,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.96 : 2,809.02 = 1,180.36 : x
  2. Step 2: Convert to fraction form
    1,873.96/2,809.02 = 1,180.36/x
  3. Step 3: Cross multiply
    1,873.96x = 2,809.02 × 1,180.36
  4. Step 4: Simplify right side
    1,873.96x = 3,315,654.85
  5. Step 5: Solve for x
    x = 3,315,654.85/1,873.96
  6. Step 6: Final answer
    x = 1,769.33

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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.