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Finding the Fourth Proportional to 2,164, 2,986.86 and 1,233.04

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Solution

The fourth proportional to 2,164, 2,986.86 and 1,233.04 is: 1,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164 : 2,986.86 = 1,233.04 : x
  2. Step 2: Convert to fraction form
    2,164/2,986.86 = 1,233.04/x
  3. Step 3: Cross multiply
    2,164x = 2,986.86 × 1,233.04
  4. Step 4: Simplify right side
    2,164x = 3,682,917.85
  5. Step 5: Solve for x
    x = 3,682,917.85/2,164
  6. Step 6: Final answer
    x = 1,701.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.