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Finding the Fourth Proportional to 4,149.69, 6,224.49 and 1,228.02

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Solution

The fourth proportional to 4,149.69, 6,224.49 and 1,228.02 is: 1,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.69 : 6,224.49 = 1,228.02 : x
  2. Step 2: Convert to fraction form
    4,149.69/6,224.49 = 1,228.02/x
  3. Step 3: Cross multiply
    4,149.69x = 6,224.49 × 1,228.02
  4. Step 4: Simplify right side
    4,149.69x = 7,643,798.21
  5. Step 5: Solve for x
    x = 7,643,798.21/4,149.69
  6. Step 6: Final answer
    x = 1,842.02

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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.