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Finding the Fourth Proportional to 2,142.64, 3,213.96 and 682.01

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Solution

The fourth proportional to 2,142.64, 3,213.96 and 682.01 is: 1,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.64 : 3,213.96 = 682.01 : x
  2. Step 2: Convert to fraction form
    2,142.64/3,213.96 = 682.01/x
  3. Step 3: Cross multiply
    2,142.64x = 3,213.96 × 682.01
  4. Step 4: Simplify right side
    2,142.64x = 2,191,952.86
  5. Step 5: Solve for x
    x = 2,191,952.86/2,142.64
  6. Step 6: Final answer
    x = 1,023.02

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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.