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Finding the Fourth Proportional to 2,166.49, 2,989.76 and 1,171.77

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Solution

The fourth proportional to 2,166.49, 2,989.76 and 1,171.77 is: 1,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.49 : 2,989.76 = 1,171.77 : x
  2. Step 2: Convert to fraction form
    2,166.49/2,989.76 = 1,171.77/x
  3. Step 3: Cross multiply
    2,166.49x = 2,989.76 × 1,171.77
  4. Step 4: Simplify right side
    2,166.49x = 3,503,314.00
  5. Step 5: Solve for x
    x = 3,503,314.00/2,166.49
  6. Step 6: Final answer
    x = 1,617.05

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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.