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Finding the Fourth Proportional to 1,769.57, 2,654.49 and 537.09

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Solution

The fourth proportional to 1,769.57, 2,654.49 and 537.09 is: 805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.57 : 2,654.49 = 537.09 : x
  2. Step 2: Convert to fraction form
    1,769.57/2,654.49 = 537.09/x
  3. Step 3: Cross multiply
    1,769.57x = 2,654.49 × 537.09
  4. Step 4: Simplify right side
    1,769.57x = 1,425,700.03
  5. Step 5: Solve for x
    x = 1,425,700.03/1,769.57
  6. Step 6: Final answer
    x = 805.68

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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.