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Finding the Fourth Proportional to 2,314.44, 3,470.72 and 979.69

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Solution

The fourth proportional to 2,314.44, 3,470.72 and 979.69 is: 1,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.44 : 3,470.72 = 979.69 : x
  2. Step 2: Convert to fraction form
    2,314.44/3,470.72 = 979.69/x
  3. Step 3: Cross multiply
    2,314.44x = 3,470.72 × 979.69
  4. Step 4: Simplify right side
    2,314.44x = 3,400,224.78
  5. Step 5: Solve for x
    x = 3,400,224.78/2,314.44
  6. Step 6: Final answer
    x = 1,469.14

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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.