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Finding the Fourth Proportional to 2,752.78, 4,134.68 and 1,644.36

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Solution

The fourth proportional to 2,752.78, 4,134.68 and 1,644.36 is: 2,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.78 : 4,134.68 = 1,644.36 : x
  2. Step 2: Convert to fraction form
    2,752.78/4,134.68 = 1,644.36/x
  3. Step 3: Cross multiply
    2,752.78x = 4,134.68 × 1,644.36
  4. Step 4: Simplify right side
    2,752.78x = 6,798,902.40
  5. Step 5: Solve for x
    x = 6,798,902.40/2,752.78
  6. Step 6: Final answer
    x = 2,469.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.