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Finding the Fourth Proportional to 3,282.69, 4,924.53 and 1,174.16

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Solution

The fourth proportional to 3,282.69, 4,924.53 and 1,174.16 is: 1,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.69 : 4,924.53 = 1,174.16 : x
  2. Step 2: Convert to fraction form
    3,282.69/4,924.53 = 1,174.16/x
  3. Step 3: Cross multiply
    3,282.69x = 4,924.53 × 1,174.16
  4. Step 4: Simplify right side
    3,282.69x = 5,782,155.65
  5. Step 5: Solve for x
    x = 5,782,155.65/3,282.69
  6. Step 6: Final answer
    x = 1,761.41

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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.