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Finding the Fourth Proportional to 2,000.68, 2,761.40 and 1,214.56

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Solution

The fourth proportional to 2,000.68, 2,761.40 and 1,214.56 is: 1,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.68 : 2,761.40 = 1,214.56 : x
  2. Step 2: Convert to fraction form
    2,000.68/2,761.40 = 1,214.56/x
  3. Step 3: Cross multiply
    2,000.68x = 2,761.40 × 1,214.56
  4. Step 4: Simplify right side
    2,000.68x = 3,353,885.98
  5. Step 5: Solve for x
    x = 3,353,885.98/2,000.68
  6. Step 6: Final answer
    x = 1,676.37

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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.