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Finding the Fourth Proportional to 3,189.92, 4,784.62 and 2,016.50

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Solution

The fourth proportional to 3,189.92, 4,784.62 and 2,016.50 is: 3,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.92 : 4,784.62 = 2,016.50 : x
  2. Step 2: Convert to fraction form
    3,189.92/4,784.62 = 2,016.50/x
  3. Step 3: Cross multiply
    3,189.92x = 4,784.62 × 2,016.50
  4. Step 4: Simplify right side
    3,189.92x = 9,648,169.23
  5. Step 5: Solve for x
    x = 9,648,169.23/3,189.92
  6. Step 6: Final answer
    x = 3,024.58

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Why These Related Problems?

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