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Finding the Fourth Proportional to 3,073, 4,241.10 and 1,831

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Solution

The fourth proportional to 3,073, 4,241.10 and 1,831 is: 2,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073 : 4,241.10 = 1,831 : x
  2. Step 2: Convert to fraction form
    3,073/4,241.10 = 1,831/x
  3. Step 3: Cross multiply
    3,073x = 4,241.10 × 1,831
  4. Step 4: Simplify right side
    3,073x = 7,765,454.10
  5. Step 5: Solve for x
    x = 7,765,454.10/3,073
  6. Step 6: Final answer
    x = 2,526.99

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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.