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Finding the Fourth Proportional to 3,086.82, 4,259.78 and 1,670.47

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Solution

The fourth proportional to 3,086.82, 4,259.78 and 1,670.47 is: 2,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.82 : 4,259.78 = 1,670.47 : x
  2. Step 2: Convert to fraction form
    3,086.82/4,259.78 = 1,670.47/x
  3. Step 3: Cross multiply
    3,086.82x = 4,259.78 × 1,670.47
  4. Step 4: Simplify right side
    3,086.82x = 7,115,845.92
  5. Step 5: Solve for x
    x = 7,115,845.92/3,086.82
  6. Step 6: Final answer
    x = 2,305.24

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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.