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Finding the Fourth Proportional to 3,197.15, 4,795.34 and 857.33

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Solution

The fourth proportional to 3,197.15, 4,795.34 and 857.33 is: 1,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.15 : 4,795.34 = 857.33 : x
  2. Step 2: Convert to fraction form
    3,197.15/4,795.34 = 857.33/x
  3. Step 3: Cross multiply
    3,197.15x = 4,795.34 × 857.33
  4. Step 4: Simplify right side
    3,197.15x = 4,111,184.56
  5. Step 5: Solve for x
    x = 4,111,184.56/3,197.15
  6. Step 6: Final answer
    x = 1,285.89

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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.