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Finding the Fourth Proportional to 2,166.51, 2,989.78 and 1,171.79

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Solution

The fourth proportional to 2,166.51, 2,989.78 and 1,171.79 is: 1,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.51 : 2,989.78 = 1,171.79 : x
  2. Step 2: Convert to fraction form
    2,166.51/2,989.78 = 1,171.79/x
  3. Step 3: Cross multiply
    2,166.51x = 2,989.78 × 1,171.79
  4. Step 4: Simplify right side
    2,166.51x = 3,503,373.50
  5. Step 5: Solve for x
    x = 3,503,373.50/2,166.51
  6. Step 6: Final answer
    x = 1,617.06

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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.