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Finding the Fourth Proportional to 2,166.85, 2,990.24 and 1,172.12

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Solution

The fourth proportional to 2,166.85, 2,990.24 and 1,172.12 is: 1,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.85 : 2,990.24 = 1,172.12 : x
  2. Step 2: Convert to fraction form
    2,166.85/2,990.24 = 1,172.12/x
  3. Step 3: Cross multiply
    2,166.85x = 2,990.24 × 1,172.12
  4. Step 4: Simplify right side
    2,166.85x = 3,504,920.11
  5. Step 5: Solve for x
    x = 3,504,920.11/2,166.85
  6. Step 6: Final answer
    x = 1,617.52

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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.