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Finding the Fourth Proportional to 3,164.97, 4,749.17 and 1,317.36

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Solution

The fourth proportional to 3,164.97, 4,749.17 and 1,317.36 is: 1,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.97 : 4,749.17 = 1,317.36 : x
  2. Step 2: Convert to fraction form
    3,164.97/4,749.17 = 1,317.36/x
  3. Step 3: Cross multiply
    3,164.97x = 4,749.17 × 1,317.36
  4. Step 4: Simplify right side
    3,164.97x = 6,256,366.59
  5. Step 5: Solve for x
    x = 6,256,366.59/3,164.97
  6. Step 6: Final answer
    x = 1,976.75

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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.