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Finding the Fourth Proportional to 2,661.62, 3,992.46 and 1,018.25

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Solution

The fourth proportional to 2,661.62, 3,992.46 and 1,018.25 is: 1,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.62 : 3,992.46 = 1,018.25 : x
  2. Step 2: Convert to fraction form
    2,661.62/3,992.46 = 1,018.25/x
  3. Step 3: Cross multiply
    2,661.62x = 3,992.46 × 1,018.25
  4. Step 4: Simplify right side
    2,661.62x = 4,065,302.43
  5. Step 5: Solve for x
    x = 4,065,302.43/2,661.62
  6. Step 6: Final answer
    x = 1,527.38

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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.