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Finding the Fourth Proportional to 3,073.71, 4,241.76 and 1,676.46

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Solution

The fourth proportional to 3,073.71, 4,241.76 and 1,676.46 is: 2,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.71 : 4,241.76 = 1,676.46 : x
  2. Step 2: Convert to fraction form
    3,073.71/4,241.76 = 1,676.46/x
  3. Step 3: Cross multiply
    3,073.71x = 4,241.76 × 1,676.46
  4. Step 4: Simplify right side
    3,073.71x = 7,111,140.97
  5. Step 5: Solve for x
    x = 7,111,140.97/3,073.71
  6. Step 6: Final answer
    x = 2,313.54

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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.