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Finding the Fourth Proportional to 2,004.96, 2,992.92 and 1,732.80

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Solution

The fourth proportional to 2,004.96, 2,992.92 and 1,732.80 is: 2,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.96 : 2,992.92 = 1,732.80 : x
  2. Step 2: Convert to fraction form
    2,004.96/2,992.92 = 1,732.80/x
  3. Step 3: Cross multiply
    2,004.96x = 2,992.92 × 1,732.80
  4. Step 4: Simplify right side
    2,004.96x = 5,186,131.78
  5. Step 5: Solve for x
    x = 5,186,131.78/2,004.96
  6. Step 6: Final answer
    x = 2,586.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.