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Finding the Fourth Proportional to 3,193.06, 4,784.19 and 1,957.90

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Solution

The fourth proportional to 3,193.06, 4,784.19 and 1,957.90 is: 2,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.06 : 4,784.19 = 1,957.90 : x
  2. Step 2: Convert to fraction form
    3,193.06/4,784.19 = 1,957.90/x
  3. Step 3: Cross multiply
    3,193.06x = 4,784.19 × 1,957.90
  4. Step 4: Simplify right side
    3,193.06x = 9,366,965.60
  5. Step 5: Solve for x
    x = 9,366,965.60/3,193.06
  6. Step 6: Final answer
    x = 2,933.54

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