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Finding the Fourth Proportional to 3,006.43, 4,147.74 and 1,679.65

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Solution

The fourth proportional to 3,006.43, 4,147.74 and 1,679.65 is: 2,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.43 : 4,147.74 = 1,679.65 : x
  2. Step 2: Convert to fraction form
    3,006.43/4,147.74 = 1,679.65/x
  3. Step 3: Cross multiply
    3,006.43x = 4,147.74 × 1,679.65
  4. Step 4: Simplify right side
    3,006.43x = 6,966,741.12
  5. Step 5: Solve for x
    x = 6,966,741.12/3,006.43
  6. Step 6: Final answer
    x = 2,317.28

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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.