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Finding the Fourth Proportional to 1,858.40, 2,786.88 and 762.56

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Solution

The fourth proportional to 1,858.40, 2,786.88 and 762.56 is: 1,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.40 : 2,786.88 = 762.56 : x
  2. Step 2: Convert to fraction form
    1,858.40/2,786.88 = 762.56/x
  3. Step 3: Cross multiply
    1,858.40x = 2,786.88 × 762.56
  4. Step 4: Simplify right side
    1,858.40x = 2,125,163.21
  5. Step 5: Solve for x
    x = 2,125,163.21/1,858.40
  6. Step 6: Final answer
    x = 1,143.54

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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.