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Finding the Fourth Proportional to 3,057.57, 4,219.44 and 1,660.32

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Solution

The fourth proportional to 3,057.57, 4,219.44 and 1,660.32 is: 2,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.57 : 4,219.44 = 1,660.32 : x
  2. Step 2: Convert to fraction form
    3,057.57/4,219.44 = 1,660.32/x
  3. Step 3: Cross multiply
    3,057.57x = 4,219.44 × 1,660.32
  4. Step 4: Simplify right side
    3,057.57x = 7,005,620.62
  5. Step 5: Solve for x
    x = 7,005,620.62/3,057.57
  6. Step 6: Final answer
    x = 2,291.24

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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.