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Finding the Fourth Proportional to 2,171.60, 2,996.67 and 1,214.48

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Solution

The fourth proportional to 2,171.60, 2,996.67 and 1,214.48 is: 1,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.60 : 2,996.67 = 1,214.48 : x
  2. Step 2: Convert to fraction form
    2,171.60/2,996.67 = 1,214.48/x
  3. Step 3: Cross multiply
    2,171.60x = 2,996.67 × 1,214.48
  4. Step 4: Simplify right side
    2,171.60x = 3,639,403.27
  5. Step 5: Solve for x
    x = 3,639,403.27/2,171.60
  6. Step 6: Final answer
    x = 1,675.91

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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.