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Finding the Fourth Proportional to 2,785.81, 4,180.71 and 2,057.35

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Solution

The fourth proportional to 2,785.81, 4,180.71 and 2,057.35 is: 3,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.81 : 4,180.71 = 2,057.35 : x
  2. Step 2: Convert to fraction form
    2,785.81/4,180.71 = 2,057.35/x
  3. Step 3: Cross multiply
    2,785.81x = 4,180.71 × 2,057.35
  4. Step 4: Simplify right side
    2,785.81x = 8,601,183.72
  5. Step 5: Solve for x
    x = 8,601,183.72/2,785.81
  6. Step 6: Final answer
    x = 3,087.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.