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Finding the Fourth Proportional to 3,072.62, 4,606.75 and 1,686.61

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Solution

The fourth proportional to 3,072.62, 4,606.75 and 1,686.61 is: 2,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.62 : 4,606.75 = 1,686.61 : x
  2. Step 2: Convert to fraction form
    3,072.62/4,606.75 = 1,686.61/x
  3. Step 3: Cross multiply
    3,072.62x = 4,606.75 × 1,686.61
  4. Step 4: Simplify right side
    3,072.62x = 7,769,790.62
  5. Step 5: Solve for x
    x = 7,769,790.62/3,072.62
  6. Step 6: Final answer
    x = 2,528.72

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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.