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Finding the Fourth Proportional to 2,114, 3,171 and 575

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Solution

The fourth proportional to 2,114, 3,171 and 575 is: 862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114 : 3,171 = 575 : x
  2. Step 2: Convert to fraction form
    2,114/3,171 = 575/x
  3. Step 3: Cross multiply
    2,114x = 3,171 × 575
  4. Step 4: Simplify right side
    2,114x = 1,823,325
  5. Step 5: Solve for x
    x = 1,823,325/2,114
  6. Step 6: Final answer
    x = 862.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.