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Finding the Fourth Proportional to 3,057.92, 4,219.86 and 1,660.64

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Solution

The fourth proportional to 3,057.92, 4,219.86 and 1,660.64 is: 2,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.92 : 4,219.86 = 1,660.64 : x
  2. Step 2: Convert to fraction form
    3,057.92/4,219.86 = 1,660.64/x
  3. Step 3: Cross multiply
    3,057.92x = 4,219.86 × 1,660.64
  4. Step 4: Simplify right side
    3,057.92x = 7,007,668.31
  5. Step 5: Solve for x
    x = 7,007,668.31/3,057.92
  6. Step 6: Final answer
    x = 2,291.65

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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.