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Finding the Fourth Proportional to 3,005.48, 4,147.49 and 1,679.10

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Solution

The fourth proportional to 3,005.48, 4,147.49 and 1,679.10 is: 2,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.48 : 4,147.49 = 1,679.10 : x
  2. Step 2: Convert to fraction form
    3,005.48/4,147.49 = 1,679.10/x
  3. Step 3: Cross multiply
    3,005.48x = 4,147.49 × 1,679.10
  4. Step 4: Simplify right side
    3,005.48x = 6,964,042.06
  5. Step 5: Solve for x
    x = 6,964,042.06/3,005.48
  6. Step 6: Final answer
    x = 2,317.12

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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.