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Finding the Fourth Proportional to 3,282.61, 4,923.82 and 817.41

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Solution

The fourth proportional to 3,282.61, 4,923.82 and 817.41 is: 1,226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.61 : 4,923.82 = 817.41 : x
  2. Step 2: Convert to fraction form
    3,282.61/4,923.82 = 817.41/x
  3. Step 3: Cross multiply
    3,282.61x = 4,923.82 × 817.41
  4. Step 4: Simplify right side
    3,282.61x = 4,024,779.71
  5. Step 5: Solve for x
    x = 4,024,779.71/3,282.61
  6. Step 6: Final answer
    x = 1,226.09

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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.