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Finding the Fourth Proportional to 2,305.71, 3,181.01 and 1,310.49

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Solution

The fourth proportional to 2,305.71, 3,181.01 and 1,310.49 is: 1,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.71 : 3,181.01 = 1,310.49 : x
  2. Step 2: Convert to fraction form
    2,305.71/3,181.01 = 1,310.49/x
  3. Step 3: Cross multiply
    2,305.71x = 3,181.01 × 1,310.49
  4. Step 4: Simplify right side
    2,305.71x = 4,168,675.24
  5. Step 5: Solve for x
    x = 4,168,675.24/2,305.71
  6. Step 6: Final answer
    x = 1,807.98

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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.