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Finding the Fourth Proportional to 2,317.56, 3,181.71 and 1,968.12

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Solution

The fourth proportional to 2,317.56, 3,181.71 and 1,968.12 is: 2,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.56 : 3,181.71 = 1,968.12 : x
  2. Step 2: Convert to fraction form
    2,317.56/3,181.71 = 1,968.12/x
  3. Step 3: Cross multiply
    2,317.56x = 3,181.71 × 1,968.12
  4. Step 4: Simplify right side
    2,317.56x = 6,261,987.09
  5. Step 5: Solve for x
    x = 6,261,987.09/2,317.56
  6. Step 6: Final answer
    x = 2,701.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.