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Finding the Fourth Proportional to 2,004.96, 2,766.72 and 1,165.68

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Solution

The fourth proportional to 2,004.96, 2,766.72 and 1,165.68 is: 1,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.96 : 2,766.72 = 1,165.68 : x
  2. Step 2: Convert to fraction form
    2,004.96/2,766.72 = 1,165.68/x
  3. Step 3: Cross multiply
    2,004.96x = 2,766.72 × 1,165.68
  4. Step 4: Simplify right side
    2,004.96x = 3,225,110.17
  5. Step 5: Solve for x
    x = 3,225,110.17/2,004.96
  6. Step 6: Final answer
    x = 1,608.57

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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.