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Finding the Fourth Proportional to 2,914.54, 4,020.51 and 2,028.82

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Solution

The fourth proportional to 2,914.54, 4,020.51 and 2,028.82 is: 2,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.54 : 4,020.51 = 2,028.82 : x
  2. Step 2: Convert to fraction form
    2,914.54/4,020.51 = 2,028.82/x
  3. Step 3: Cross multiply
    2,914.54x = 4,020.51 × 2,028.82
  4. Step 4: Simplify right side
    2,914.54x = 8,156,891.10
  5. Step 5: Solve for x
    x = 8,156,891.10/2,914.54
  6. Step 6: Final answer
    x = 2,798.69

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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.