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Finding the Fourth Proportional to 3,175.34, 4,383.48 and 2,114.86

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Solution

The fourth proportional to 3,175.34, 4,383.48 and 2,114.86 is: 2,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.34 : 4,383.48 = 2,114.86 : x
  2. Step 2: Convert to fraction form
    3,175.34/4,383.48 = 2,114.86/x
  3. Step 3: Cross multiply
    3,175.34x = 4,383.48 × 2,114.86
  4. Step 4: Simplify right side
    3,175.34x = 9,270,446.51
  5. Step 5: Solve for x
    x = 9,270,446.51/3,175.34
  6. Step 6: Final answer
    x = 2,919.51

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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.