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Finding the Fourth Proportional to 3,175.34, 4,382.90 and 2,114.64

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Solution

The fourth proportional to 3,175.34, 4,382.90 and 2,114.64 is: 2,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.34 : 4,382.90 = 2,114.64 : x
  2. Step 2: Convert to fraction form
    3,175.34/4,382.90 = 2,114.64/x
  3. Step 3: Cross multiply
    3,175.34x = 4,382.90 × 2,114.64
  4. Step 4: Simplify right side
    3,175.34x = 9,268,255.66
  5. Step 5: Solve for x
    x = 9,268,255.66/3,175.34
  6. Step 6: Final answer
    x = 2,918.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.