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Finding the Fourth Proportional to 3,005.92, 4,148.09 and 1,679.63

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Solution

The fourth proportional to 3,005.92, 4,148.09 and 1,679.63 is: 2,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.92 : 4,148.09 = 1,679.63 : x
  2. Step 2: Convert to fraction form
    3,005.92/4,148.09 = 1,679.63/x
  3. Step 3: Cross multiply
    3,005.92x = 4,148.09 × 1,679.63
  4. Step 4: Simplify right side
    3,005.92x = 6,967,248.01
  5. Step 5: Solve for x
    x = 6,967,248.01/3,005.92
  6. Step 6: Final answer
    x = 2,317.85

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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.