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Finding the Fourth Proportional to 2,164.48, 2,986.96 and 1,233

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Solution

The fourth proportional to 2,164.48, 2,986.96 and 1,233 is: 1,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.48 : 2,986.96 = 1,233 : x
  2. Step 2: Convert to fraction form
    2,164.48/2,986.96 = 1,233/x
  3. Step 3: Cross multiply
    2,164.48x = 2,986.96 × 1,233
  4. Step 4: Simplify right side
    2,164.48x = 3,682,921.68
  5. Step 5: Solve for x
    x = 3,682,921.68/2,164.48
  6. Step 6: Final answer
    x = 1,701.53

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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.