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Finding the Fourth Proportional to 2,166.90, 2,991.48 and 1,736.86

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Solution

The fourth proportional to 2,166.90, 2,991.48 and 1,736.86 is: 2,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.90 : 2,991.48 = 1,736.86 : x
  2. Step 2: Convert to fraction form
    2,166.90/2,991.48 = 1,736.86/x
  3. Step 3: Cross multiply
    2,166.90x = 2,991.48 × 1,736.86
  4. Step 4: Simplify right side
    2,166.90x = 5,195,781.95
  5. Step 5: Solve for x
    x = 5,195,781.95/2,166.90
  6. Step 6: Final answer
    x = 2,397.79

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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.