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Finding the Fourth Proportional to 2,305.73, 3,181.01 and 1,310.87

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Solution

The fourth proportional to 2,305.73, 3,181.01 and 1,310.87 is: 1,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.73 : 3,181.01 = 1,310.87 : x
  2. Step 2: Convert to fraction form
    2,305.73/3,181.01 = 1,310.87/x
  3. Step 3: Cross multiply
    2,305.73x = 3,181.01 × 1,310.87
  4. Step 4: Simplify right side
    2,305.73x = 4,169,868.12
  5. Step 5: Solve for x
    x = 4,169,868.12/2,305.73
  6. Step 6: Final answer
    x = 1,808.48

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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.