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Finding the Fourth Proportional to 3,096.65, 4,272.33 and 1,769.42

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Solution

The fourth proportional to 3,096.65, 4,272.33 and 1,769.42 is: 2,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.65 : 4,272.33 = 1,769.42 : x
  2. Step 2: Convert to fraction form
    3,096.65/4,272.33 = 1,769.42/x
  3. Step 3: Cross multiply
    3,096.65x = 4,272.33 × 1,769.42
  4. Step 4: Simplify right side
    3,096.65x = 7,559,531.42
  5. Step 5: Solve for x
    x = 7,559,531.42/3,096.65
  6. Step 6: Final answer
    x = 2,441.19

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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.