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Finding the Fourth Proportional to 2,661.75, 3,992.46 and 1,017.55

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Solution

The fourth proportional to 2,661.75, 3,992.46 and 1,017.55 is: 1,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.75 : 3,992.46 = 1,017.55 : x
  2. Step 2: Convert to fraction form
    2,661.75/3,992.46 = 1,017.55/x
  3. Step 3: Cross multiply
    2,661.75x = 3,992.46 × 1,017.55
  4. Step 4: Simplify right side
    2,661.75x = 4,062,507.71
  5. Step 5: Solve for x
    x = 4,062,507.71/2,661.75
  6. Step 6: Final answer
    x = 1,526.26

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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.