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Finding the Fourth Proportional to 2,707.82, 3,728.46 and 2,308.59

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Solution

The fourth proportional to 2,707.82, 3,728.46 and 2,308.59 is: 3,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.82 : 3,728.46 = 2,308.59 : x
  2. Step 2: Convert to fraction form
    2,707.82/3,728.46 = 2,308.59/x
  3. Step 3: Cross multiply
    2,707.82x = 3,728.46 × 2,308.59
  4. Step 4: Simplify right side
    2,707.82x = 8,607,494.13
  5. Step 5: Solve for x
    x = 8,607,494.13/2,707.82
  6. Step 6: Final answer
    x = 3,178.76

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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.