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Finding the Fourth Proportional to 1,586.68, 2,380.50 and 857.32

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Solution

The fourth proportional to 1,586.68, 2,380.50 and 857.32 is: 1,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.68 : 2,380.50 = 857.32 : x
  2. Step 2: Convert to fraction form
    1,586.68/2,380.50 = 857.32/x
  3. Step 3: Cross multiply
    1,586.68x = 2,380.50 × 857.32
  4. Step 4: Simplify right side
    1,586.68x = 2,040,850.26
  5. Step 5: Solve for x
    x = 2,040,850.26/1,586.68
  6. Step 6: Final answer
    x = 1,286.24

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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.