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Finding the Fourth Proportional to 2,144, 2,958.72 and 1,212.68

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Solution

The fourth proportional to 2,144, 2,958.72 and 1,212.68 is: 1,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144 : 2,958.72 = 1,212.68 : x
  2. Step 2: Convert to fraction form
    2,144/2,958.72 = 1,212.68/x
  3. Step 3: Cross multiply
    2,144x = 2,958.72 × 1,212.68
  4. Step 4: Simplify right side
    2,144x = 3,587,980.57
  5. Step 5: Solve for x
    x = 3,587,980.57/2,144
  6. Step 6: Final answer
    x = 1,673.50

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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.