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Finding the Fourth Proportional to 2,065.92, 2,851.68 and 2,004.48

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Solution

The fourth proportional to 2,065.92, 2,851.68 and 2,004.48 is: 2,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.92 : 2,851.68 = 2,004.48 : x
  2. Step 2: Convert to fraction form
    2,065.92/2,851.68 = 2,004.48/x
  3. Step 3: Cross multiply
    2,065.92x = 2,851.68 × 2,004.48
  4. Step 4: Simplify right side
    2,065.92x = 5,716,135.53
  5. Step 5: Solve for x
    x = 5,716,135.53/2,065.92
  6. Step 6: Final answer
    x = 2,766.87

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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.