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Finding the Fourth Proportional to 3,287.33, 4,931.69 and 1,096.23

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Solution

The fourth proportional to 3,287.33, 4,931.69 and 1,096.23 is: 1,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.33 : 4,931.69 = 1,096.23 : x
  2. Step 2: Convert to fraction form
    3,287.33/4,931.69 = 1,096.23/x
  3. Step 3: Cross multiply
    3,287.33x = 4,931.69 × 1,096.23
  4. Step 4: Simplify right side
    3,287.33x = 5,406,266.53
  5. Step 5: Solve for x
    x = 5,406,266.53/3,287.33
  6. Step 6: Final answer
    x = 1,644.58

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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.