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Finding the Fourth Proportional to 2,883.66, 3,975.18 and 2,252.82

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Solution

The fourth proportional to 2,883.66, 3,975.18 and 2,252.82 is: 3,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.66 : 3,975.18 = 2,252.82 : x
  2. Step 2: Convert to fraction form
    2,883.66/3,975.18 = 2,252.82/x
  3. Step 3: Cross multiply
    2,883.66x = 3,975.18 × 2,252.82
  4. Step 4: Simplify right side
    2,883.66x = 8,955,365.01
  5. Step 5: Solve for x
    x = 8,955,365.01/2,883.66
  6. Step 6: Final answer
    x = 3,105.56

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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.