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Finding the Fourth Proportional to 1,212.75, 1,827.16 and 1,101.69

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Solution

The fourth proportional to 1,212.75, 1,827.16 and 1,101.69 is: 1,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.75 : 1,827.16 = 1,101.69 : x
  2. Step 2: Convert to fraction form
    1,212.75/1,827.16 = 1,101.69/x
  3. Step 3: Cross multiply
    1,212.75x = 1,827.16 × 1,101.69
  4. Step 4: Simplify right side
    1,212.75x = 2,012,961.15
  5. Step 5: Solve for x
    x = 2,012,961.15/1,212.75
  6. Step 6: Final answer
    x = 1,659.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.