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Finding the Fourth Proportional to 2,936.72, 4,405.29 and 856.74

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Solution

The fourth proportional to 2,936.72, 4,405.29 and 856.74 is: 1,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.72 : 4,405.29 = 856.74 : x
  2. Step 2: Convert to fraction form
    2,936.72/4,405.29 = 856.74/x
  3. Step 3: Cross multiply
    2,936.72x = 4,405.29 × 856.74
  4. Step 4: Simplify right side
    2,936.72x = 3,774,201.46
  5. Step 5: Solve for x
    x = 3,774,201.46/2,936.72
  6. Step 6: Final answer
    x = 1,285.17

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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.