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Finding the Fourth Proportional to 2,717.66, 3,749.14 and 1,969.98

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Solution

The fourth proportional to 2,717.66, 3,749.14 and 1,969.98 is: 2,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.66 : 3,749.14 = 1,969.98 : x
  2. Step 2: Convert to fraction form
    2,717.66/3,749.14 = 1,969.98/x
  3. Step 3: Cross multiply
    2,717.66x = 3,749.14 × 1,969.98
  4. Step 4: Simplify right side
    2,717.66x = 7,385,720.97
  5. Step 5: Solve for x
    x = 7,385,720.97/2,717.66
  6. Step 6: Final answer
    x = 2,717.68

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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.