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Finding the Fourth Proportional to 2,318.22, 3,474.90 and 857.79

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Solution

The fourth proportional to 2,318.22, 3,474.90 and 857.79 is: 1,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.22 : 3,474.90 = 857.79 : x
  2. Step 2: Convert to fraction form
    2,318.22/3,474.90 = 857.79/x
  3. Step 3: Cross multiply
    2,318.22x = 3,474.90 × 857.79
  4. Step 4: Simplify right side
    2,318.22x = 2,980,734.47
  5. Step 5: Solve for x
    x = 2,980,734.47/2,318.22
  6. Step 6: Final answer
    x = 1,285.79

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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.