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Finding the Fourth Proportional to 1,769.14, 2,654.08 and 536.68

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Solution

The fourth proportional to 1,769.14, 2,654.08 and 536.68 is: 805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.14 : 2,654.08 = 536.68 : x
  2. Step 2: Convert to fraction form
    1,769.14/2,654.08 = 536.68/x
  3. Step 3: Cross multiply
    1,769.14x = 2,654.08 × 536.68
  4. Step 4: Simplify right side
    1,769.14x = 1,424,391.65
  5. Step 5: Solve for x
    x = 1,424,391.65/1,769.14
  6. Step 6: Final answer
    x = 805.13

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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.