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Finding the Fourth Proportional to 2,752.73, 3,798.77 and 1,573.80

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Solution

The fourth proportional to 2,752.73, 3,798.77 and 1,573.80 is: 2,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.73 : 3,798.77 = 1,573.80 : x
  2. Step 2: Convert to fraction form
    2,752.73/3,798.77 = 1,573.80/x
  3. Step 3: Cross multiply
    2,752.73x = 3,798.77 × 1,573.80
  4. Step 4: Simplify right side
    2,752.73x = 5,978,527.44
  5. Step 5: Solve for x
    x = 5,978,527.44/2,752.73
  6. Step 6: Final answer
    x = 2,171.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.