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Finding the Fourth Proportional to 4,292.67, 6,439.41 and 1,695

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Solution

The fourth proportional to 4,292.67, 6,439.41 and 1,695 is: 2,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.67 : 6,439.41 = 1,695 : x
  2. Step 2: Convert to fraction form
    4,292.67/6,439.41 = 1,695/x
  3. Step 3: Cross multiply
    4,292.67x = 6,439.41 × 1,695
  4. Step 4: Simplify right side
    4,292.67x = 10,914,799.95
  5. Step 5: Solve for x
    x = 10,914,799.95/4,292.67
  6. Step 6: Final answer
    x = 2,542.66

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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.