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Finding the Fourth Proportional to 2,661.52, 3,993.94 and 1,018.20

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Solution

The fourth proportional to 2,661.52, 3,993.94 and 1,018.20 is: 1,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.52 : 3,993.94 = 1,018.20 : x
  2. Step 2: Convert to fraction form
    2,661.52/3,993.94 = 1,018.20/x
  3. Step 3: Cross multiply
    2,661.52x = 3,993.94 × 1,018.20
  4. Step 4: Simplify right side
    2,661.52x = 4,066,629.71
  5. Step 5: Solve for x
    x = 4,066,629.71/2,661.52
  6. Step 6: Final answer
    x = 1,527.94

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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.