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Finding the Fourth Proportional to 2,469.94, 3,407.28 and 1,629.76

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Solution

The fourth proportional to 2,469.94, 3,407.28 and 1,629.76 is: 2,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.94 : 3,407.28 = 1,629.76 : x
  2. Step 2: Convert to fraction form
    2,469.94/3,407.28 = 1,629.76/x
  3. Step 3: Cross multiply
    2,469.94x = 3,407.28 × 1,629.76
  4. Step 4: Simplify right side
    2,469.94x = 5,553,048.65
  5. Step 5: Solve for x
    x = 5,553,048.65/2,469.94
  6. Step 6: Final answer
    x = 2,248.25

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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.