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Finding the Fourth Proportional to 2,686.30, 4,028.40 and 930.83

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Solution

The fourth proportional to 2,686.30, 4,028.40 and 930.83 is: 1,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.30 : 4,028.40 = 930.83 : x
  2. Step 2: Convert to fraction form
    2,686.30/4,028.40 = 930.83/x
  3. Step 3: Cross multiply
    2,686.30x = 4,028.40 × 930.83
  4. Step 4: Simplify right side
    2,686.30x = 3,749,735.43
  5. Step 5: Solve for x
    x = 3,749,735.43/2,686.30
  6. Step 6: Final answer
    x = 1,395.87

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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.