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Finding the Fourth Proportional to 3,266.61, 4,902.63 and 1,708.36

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Solution

The fourth proportional to 3,266.61, 4,902.63 and 1,708.36 is: 2,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.61 : 4,902.63 = 1,708.36 : x
  2. Step 2: Convert to fraction form
    3,266.61/4,902.63 = 1,708.36/x
  3. Step 3: Cross multiply
    3,266.61x = 4,902.63 × 1,708.36
  4. Step 4: Simplify right side
    3,266.61x = 8,375,456.99
  5. Step 5: Solve for x
    x = 8,375,456.99/3,266.61
  6. Step 6: Final answer
    x = 2,563.96

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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.