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Finding the Fourth Proportional to 2,642.97, 3,962.12 and 1,000.67

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Solution

The fourth proportional to 2,642.97, 3,962.12 and 1,000.67 is: 1,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.97 : 3,962.12 = 1,000.67 : x
  2. Step 2: Convert to fraction form
    2,642.97/3,962.12 = 1,000.67/x
  3. Step 3: Cross multiply
    2,642.97x = 3,962.12 × 1,000.67
  4. Step 4: Simplify right side
    2,642.97x = 3,964,755.38
  5. Step 5: Solve for x
    x = 3,964,755.38/2,642.97
  6. Step 6: Final answer
    x = 1,500.12

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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.