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Finding the Fourth Proportional to 3,057.34, 4,219.13 and 1,660.09

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Solution

The fourth proportional to 3,057.34, 4,219.13 and 1,660.09 is: 2,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.34 : 4,219.13 = 1,660.09 : x
  2. Step 2: Convert to fraction form
    3,057.34/4,219.13 = 1,660.09/x
  3. Step 3: Cross multiply
    3,057.34x = 4,219.13 × 1,660.09
  4. Step 4: Simplify right side
    3,057.34x = 7,004,135.52
  5. Step 5: Solve for x
    x = 7,004,135.52/3,057.34
  6. Step 6: Final answer
    x = 2,290.92

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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.