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Finding the Fourth Proportional to 3,057.39, 4,219.09 and 1,660.14

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Solution

The fourth proportional to 3,057.39, 4,219.09 and 1,660.14 is: 2,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.39 : 4,219.09 = 1,660.14 : x
  2. Step 2: Convert to fraction form
    3,057.39/4,219.09 = 1,660.14/x
  3. Step 3: Cross multiply
    3,057.39x = 4,219.09 × 1,660.14
  4. Step 4: Simplify right side
    3,057.39x = 7,004,275.92
  5. Step 5: Solve for x
    x = 7,004,275.92/3,057.39
  6. Step 6: Final answer
    x = 2,290.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.