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Finding the Fourth Proportional to 3,193.29, 4,784.70 and 1,958.08

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Solution

The fourth proportional to 3,193.29, 4,784.70 and 1,958.08 is: 2,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.29 : 4,784.70 = 1,958.08 : x
  2. Step 2: Convert to fraction form
    3,193.29/4,784.70 = 1,958.08/x
  3. Step 3: Cross multiply
    3,193.29x = 4,784.70 × 1,958.08
  4. Step 4: Simplify right side
    3,193.29x = 9,368,825.38
  5. Step 5: Solve for x
    x = 9,368,825.38/3,193.29
  6. Step 6: Final answer
    x = 2,933.91

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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.