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Finding the Fourth Proportional to 1,944, 2,911.86 and 1,212.66

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Solution

The fourth proportional to 1,944, 2,911.86 and 1,212.66 is: 1,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944 : 2,911.86 = 1,212.66 : x
  2. Step 2: Convert to fraction form
    1,944/2,911.86 = 1,212.66/x
  3. Step 3: Cross multiply
    1,944x = 2,911.86 × 1,212.66
  4. Step 4: Simplify right side
    1,944x = 3,531,096.15
  5. Step 5: Solve for x
    x = 3,531,096.15/1,944
  6. Step 6: Final answer
    x = 1,816.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.