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Finding the Fourth Proportional to 2,305.78, 3,182.02 and 1,311.08

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Solution

The fourth proportional to 2,305.78, 3,182.02 and 1,311.08 is: 1,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.78 : 3,182.02 = 1,311.08 : x
  2. Step 2: Convert to fraction form
    2,305.78/3,182.02 = 1,311.08/x
  3. Step 3: Cross multiply
    2,305.78x = 3,182.02 × 1,311.08
  4. Step 4: Simplify right side
    2,305.78x = 4,171,882.78
  5. Step 5: Solve for x
    x = 4,171,882.78/2,305.78
  6. Step 6: Final answer
    x = 1,809.32

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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.