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Finding the Fourth Proportional to 3,297.14, 4,555.00 and 2,165.50

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Solution

The fourth proportional to 3,297.14, 4,555.00 and 2,165.50 is: 2,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.14 : 4,555.00 = 2,165.50 : x
  2. Step 2: Convert to fraction form
    3,297.14/4,555.00 = 2,165.50/x
  3. Step 3: Cross multiply
    3,297.14x = 4,555.00 × 2,165.50
  4. Step 4: Simplify right side
    3,297.14x = 9,863,835.70
  5. Step 5: Solve for x
    x = 9,863,835.70/3,297.14
  6. Step 6: Final answer
    x = 2,991.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.