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Finding the Fourth Proportional to 2,142.65, 3,214.08 and 682.02

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Solution

The fourth proportional to 2,142.65, 3,214.08 and 682.02 is: 1,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.65 : 3,214.08 = 682.02 : x
  2. Step 2: Convert to fraction form
    2,142.65/3,214.08 = 682.02/x
  3. Step 3: Cross multiply
    2,142.65x = 3,214.08 × 682.02
  4. Step 4: Simplify right side
    2,142.65x = 2,192,066.84
  5. Step 5: Solve for x
    x = 2,192,066.84/2,142.65
  6. Step 6: Final answer
    x = 1,023.06

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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.