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Finding the Fourth Proportional to 2,155.17, 3,233.96 and 856.74

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Solution

The fourth proportional to 2,155.17, 3,233.96 and 856.74 is: 1,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.17 : 3,233.96 = 856.74 : x
  2. Step 2: Convert to fraction form
    2,155.17/3,233.96 = 856.74/x
  3. Step 3: Cross multiply
    2,155.17x = 3,233.96 × 856.74
  4. Step 4: Simplify right side
    2,155.17x = 2,770,662.89
  5. Step 5: Solve for x
    x = 2,770,662.89/2,155.17
  6. Step 6: Final answer
    x = 1,285.59

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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.