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Finding the Fourth Proportional to 2,005.05, 2,766.87 and 1,165.71

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Solution

The fourth proportional to 2,005.05, 2,766.87 and 1,165.71 is: 1,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.05 : 2,766.87 = 1,165.71 : x
  2. Step 2: Convert to fraction form
    2,005.05/2,766.87 = 1,165.71/x
  3. Step 3: Cross multiply
    2,005.05x = 2,766.87 × 1,165.71
  4. Step 4: Simplify right side
    2,005.05x = 3,225,368.03
  5. Step 5: Solve for x
    x = 3,225,368.03/2,005.05
  6. Step 6: Final answer
    x = 1,608.62

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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.