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Finding the Fourth Proportional to 2,305.38, 3,182.13 and 1,676.01

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Solution

The fourth proportional to 2,305.38, 3,182.13 and 1,676.01 is: 2,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.38 : 3,182.13 = 1,676.01 : x
  2. Step 2: Convert to fraction form
    2,305.38/3,182.13 = 1,676.01/x
  3. Step 3: Cross multiply
    2,305.38x = 3,182.13 × 1,676.01
  4. Step 4: Simplify right side
    2,305.38x = 5,333,281.70
  5. Step 5: Solve for x
    x = 5,333,281.70/2,305.38
  6. Step 6: Final answer
    x = 2,313.41

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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.