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Finding the Fourth Proportional to 3,175.88, 4,383.14 and 1,849.64

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Solution

The fourth proportional to 3,175.88, 4,383.14 and 1,849.64 is: 2,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.88 : 4,383.14 = 1,849.64 : x
  2. Step 2: Convert to fraction form
    3,175.88/4,383.14 = 1,849.64/x
  3. Step 3: Cross multiply
    3,175.88x = 4,383.14 × 1,849.64
  4. Step 4: Simplify right side
    3,175.88x = 8,107,231.07
  5. Step 5: Solve for x
    x = 8,107,231.07/3,175.88
  6. Step 6: Final answer
    x = 2,552.75

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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.