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Finding the Fourth Proportional to 3,005.40, 4,147.86 and 1,679.20

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Solution

The fourth proportional to 3,005.40, 4,147.86 and 1,679.20 is: 2,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.40 : 4,147.86 = 1,679.20 : x
  2. Step 2: Convert to fraction form
    3,005.40/4,147.86 = 1,679.20/x
  3. Step 3: Cross multiply
    3,005.40x = 4,147.86 × 1,679.20
  4. Step 4: Simplify right side
    3,005.40x = 6,965,086.51
  5. Step 5: Solve for x
    x = 6,965,086.51/3,005.40
  6. Step 6: Final answer
    x = 2,317.52

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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.