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Finding the Fourth Proportional to 2,936.75, 4,405.69 and 856.76

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Solution

The fourth proportional to 2,936.75, 4,405.69 and 856.76 is: 1,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.75 : 4,405.69 = 856.76 : x
  2. Step 2: Convert to fraction form
    2,936.75/4,405.69 = 856.76/x
  3. Step 3: Cross multiply
    2,936.75x = 4,405.69 × 856.76
  4. Step 4: Simplify right side
    2,936.75x = 3,774,644.09
  5. Step 5: Solve for x
    x = 3,774,644.09/2,936.75
  6. Step 6: Final answer
    x = 1,285.31

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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.