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Finding the Fourth Proportional to 3,057.86, 4,219.85 and 1,660.61

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Solution

The fourth proportional to 3,057.86, 4,219.85 and 1,660.61 is: 2,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.86 : 4,219.85 = 1,660.61 : x
  2. Step 2: Convert to fraction form
    3,057.86/4,219.85 = 1,660.61/x
  3. Step 3: Cross multiply
    3,057.86x = 4,219.85 × 1,660.61
  4. Step 4: Simplify right side
    3,057.86x = 7,007,516.81
  5. Step 5: Solve for x
    x = 7,007,516.81/3,057.86
  6. Step 6: Final answer
    x = 2,291.64

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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.