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Finding the Fourth Proportional to 3,057.67, 4,219.50 and 1,660.42

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Solution

The fourth proportional to 3,057.67, 4,219.50 and 1,660.42 is: 2,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.67 : 4,219.50 = 1,660.42 : x
  2. Step 2: Convert to fraction form
    3,057.67/4,219.50 = 1,660.42/x
  3. Step 3: Cross multiply
    3,057.67x = 4,219.50 × 1,660.42
  4. Step 4: Simplify right side
    3,057.67x = 7,006,142.19
  5. Step 5: Solve for x
    x = 7,006,142.19/3,057.67
  6. Step 6: Final answer
    x = 2,291.33

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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.