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Finding the Fourth Proportional to 2,661.81, 3,992.53 and 1,018.53

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Solution

The fourth proportional to 2,661.81, 3,992.53 and 1,018.53 is: 1,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.81 : 3,992.53 = 1,018.53 : x
  2. Step 2: Convert to fraction form
    2,661.81/3,992.53 = 1,018.53/x
  3. Step 3: Cross multiply
    2,661.81x = 3,992.53 × 1,018.53
  4. Step 4: Simplify right side
    2,661.81x = 4,066,511.58
  5. Step 5: Solve for x
    x = 4,066,511.58/2,661.81
  6. Step 6: Final answer
    x = 1,527.72

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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.