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Finding the Fourth Proportional to 2,873.94, 3,965.94 and 1,631.94

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Solution

The fourth proportional to 2,873.94, 3,965.94 and 1,631.94 is: 2,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.94 : 3,965.94 = 1,631.94 : x
  2. Step 2: Convert to fraction form
    2,873.94/3,965.94 = 1,631.94/x
  3. Step 3: Cross multiply
    2,873.94x = 3,965.94 × 1,631.94
  4. Step 4: Simplify right side
    2,873.94x = 6,472,176.12
  5. Step 5: Solve for x
    x = 6,472,176.12/2,873.94
  6. Step 6: Final answer
    x = 2,252.02

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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.