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Finding the Fourth Proportional to 2,251, 3,106.74 and 1,631.08

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Solution

The fourth proportional to 2,251, 3,106.74 and 1,631.08 is: 2,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251 : 3,106.74 = 1,631.08 : x
  2. Step 2: Convert to fraction form
    2,251/3,106.74 = 1,631.08/x
  3. Step 3: Cross multiply
    2,251x = 3,106.74 × 1,631.08
  4. Step 4: Simplify right side
    2,251x = 5,067,341.48
  5. Step 5: Solve for x
    x = 5,067,341.48/2,251
  6. Step 6: Final answer
    x = 2,251.15

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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.