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Finding the Fourth Proportional to 2,616.36, 3,923.90 and 1,317.16

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Solution

The fourth proportional to 2,616.36, 3,923.90 and 1,317.16 is: 1,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.36 : 3,923.90 = 1,317.16 : x
  2. Step 2: Convert to fraction form
    2,616.36/3,923.90 = 1,317.16/x
  3. Step 3: Cross multiply
    2,616.36x = 3,923.90 × 1,317.16
  4. Step 4: Simplify right side
    2,616.36x = 5,168,404.12
  5. Step 5: Solve for x
    x = 5,168,404.12/2,616.36
  6. Step 6: Final answer
    x = 1,975.42

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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.