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Finding the Fourth Proportional to 2,000.52, 2,761.56 and 1,214.82

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Solution

The fourth proportional to 2,000.52, 2,761.56 and 1,214.82 is: 1,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.52 : 2,761.56 = 1,214.82 : x
  2. Step 2: Convert to fraction form
    2,000.52/2,761.56 = 1,214.82/x
  3. Step 3: Cross multiply
    2,000.52x = 2,761.56 × 1,214.82
  4. Step 4: Simplify right side
    2,000.52x = 3,354,798.32
  5. Step 5: Solve for x
    x = 3,354,798.32/2,000.52
  6. Step 6: Final answer
    x = 1,676.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.