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Finding the Fourth Proportional to 2,828.42, 4,242.09 and 979.54

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Solution

The fourth proportional to 2,828.42, 4,242.09 and 979.54 is: 1,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.42 : 4,242.09 = 979.54 : x
  2. Step 2: Convert to fraction form
    2,828.42/4,242.09 = 979.54/x
  3. Step 3: Cross multiply
    2,828.42x = 4,242.09 × 979.54
  4. Step 4: Simplify right side
    2,828.42x = 4,155,308.26
  5. Step 5: Solve for x
    x = 4,155,308.26/2,828.42
  6. Step 6: Final answer
    x = 1,469.13

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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.