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Finding the Fourth Proportional to 2,052.94, 3,078.12 and 665.68

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Solution

The fourth proportional to 2,052.94, 3,078.12 and 665.68 is: 998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.94 : 3,078.12 = 665.68 : x
  2. Step 2: Convert to fraction form
    2,052.94/3,078.12 = 665.68/x
  3. Step 3: Cross multiply
    2,052.94x = 3,078.12 × 665.68
  4. Step 4: Simplify right side
    2,052.94x = 2,049,042.92
  5. Step 5: Solve for x
    x = 2,049,042.92/2,052.94
  6. Step 6: Final answer
    x = 998.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.