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Finding the Fourth Proportional to 2,007.72, 2,764.50 and 1,757.64

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Solution

The fourth proportional to 2,007.72, 2,764.50 and 1,757.64 is: 2,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.72 : 2,764.50 = 1,757.64 : x
  2. Step 2: Convert to fraction form
    2,007.72/2,764.50 = 1,757.64/x
  3. Step 3: Cross multiply
    2,007.72x = 2,764.50 × 1,757.64
  4. Step 4: Simplify right side
    2,007.72x = 4,858,995.78
  5. Step 5: Solve for x
    x = 4,858,995.78/2,007.72
  6. Step 6: Final answer
    x = 2,420.16

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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.