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Finding the Fourth Proportional to 2,571.25, 3,851.72 and 1,182.65

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Solution

The fourth proportional to 2,571.25, 3,851.72 and 1,182.65 is: 1,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.25 : 3,851.72 = 1,182.65 : x
  2. Step 2: Convert to fraction form
    2,571.25/3,851.72 = 1,182.65/x
  3. Step 3: Cross multiply
    2,571.25x = 3,851.72 × 1,182.65
  4. Step 4: Simplify right side
    2,571.25x = 4,555,230.74
  5. Step 5: Solve for x
    x = 4,555,230.74/2,571.25
  6. Step 6: Final answer
    x = 1,771.60

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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.