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Finding the Fourth Proportional to 2,171.74, 2,996.94 and 1,214.64

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Solution

The fourth proportional to 2,171.74, 2,996.94 and 1,214.64 is: 1,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.74 : 2,996.94 = 1,214.64 : x
  2. Step 2: Convert to fraction form
    2,171.74/2,996.94 = 1,214.64/x
  3. Step 3: Cross multiply
    2,171.74x = 2,996.94 × 1,214.64
  4. Step 4: Simplify right side
    2,171.74x = 3,640,203.20
  5. Step 5: Solve for x
    x = 3,640,203.20/2,171.74
  6. Step 6: Final answer
    x = 1,676.17

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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.