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Finding the Fourth Proportional to 2,007.08, 2,765.82 and 1,446.56

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Solution

The fourth proportional to 2,007.08, 2,765.82 and 1,446.56 is: 1,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.08 : 2,765.82 = 1,446.56 : x
  2. Step 2: Convert to fraction form
    2,007.08/2,765.82 = 1,446.56/x
  3. Step 3: Cross multiply
    2,007.08x = 2,765.82 × 1,446.56
  4. Step 4: Simplify right side
    2,007.08x = 4,000,924.58
  5. Step 5: Solve for x
    x = 4,000,924.58/2,007.08
  6. Step 6: Final answer
    x = 1,993.41

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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.