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Finding the Fourth Proportional to 2,166.02, 3,244.95 and 1,069.10

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Solution

The fourth proportional to 2,166.02, 3,244.95 and 1,069.10 is: 1,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.02 : 3,244.95 = 1,069.10 : x
  2. Step 2: Convert to fraction form
    2,166.02/3,244.95 = 1,069.10/x
  3. Step 3: Cross multiply
    2,166.02x = 3,244.95 × 1,069.10
  4. Step 4: Simplify right side
    2,166.02x = 3,469,176.05
  5. Step 5: Solve for x
    x = 3,469,176.05/2,166.02
  6. Step 6: Final answer
    x = 1,601.64

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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.