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Finding the Fourth Proportional to 2,708.29, 3,729.11 and 2,309.06

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Solution

The fourth proportional to 2,708.29, 3,729.11 and 2,309.06 is: 3,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.29 : 3,729.11 = 2,309.06 : x
  2. Step 2: Convert to fraction form
    2,708.29/3,729.11 = 2,309.06/x
  3. Step 3: Cross multiply
    2,708.29x = 3,729.11 × 2,309.06
  4. Step 4: Simplify right side
    2,708.29x = 8,610,731.19
  5. Step 5: Solve for x
    x = 8,610,731.19/2,708.29
  6. Step 6: Final answer
    x = 3,179.40

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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.