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Finding the Fourth Proportional to 1,222.14, 1,833.48 and 674.04

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Solution

The fourth proportional to 1,222.14, 1,833.48 and 674.04 is: 1,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.14 : 1,833.48 = 674.04 : x
  2. Step 2: Convert to fraction form
    1,222.14/1,833.48 = 674.04/x
  3. Step 3: Cross multiply
    1,222.14x = 1,833.48 × 674.04
  4. Step 4: Simplify right side
    1,222.14x = 1,235,838.86
  5. Step 5: Solve for x
    x = 1,235,838.86/1,222.14
  6. Step 6: Final answer
    x = 1,011.21

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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.