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Finding the Fourth Proportional to 2,206.80, 3,311.10 and 1,166.53

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Solution

The fourth proportional to 2,206.80, 3,311.10 and 1,166.53 is: 1,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.80 : 3,311.10 = 1,166.53 : x
  2. Step 2: Convert to fraction form
    2,206.80/3,311.10 = 1,166.53/x
  3. Step 3: Cross multiply
    2,206.80x = 3,311.10 × 1,166.53
  4. Step 4: Simplify right side
    2,206.80x = 3,862,483.84
  5. Step 5: Solve for x
    x = 3,862,483.84/2,206.80
  6. Step 6: Final answer
    x = 1,750.26

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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.