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Finding the Fourth Proportional to 3,133.61, 4,698.68 and 1,286.03

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Solution

The fourth proportional to 3,133.61, 4,698.68 and 1,286.03 is: 1,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.61 : 4,698.68 = 1,286.03 : x
  2. Step 2: Convert to fraction form
    3,133.61/4,698.68 = 1,286.03/x
  3. Step 3: Cross multiply
    3,133.61x = 4,698.68 × 1,286.03
  4. Step 4: Simplify right side
    3,133.61x = 6,042,633.18
  5. Step 5: Solve for x
    x = 6,042,633.18/3,133.61
  6. Step 6: Final answer
    x = 1,928.33

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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.