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Finding the Fourth Proportional to 2,785.97, 4,180.99 and 2,244.68

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Solution

The fourth proportional to 2,785.97, 4,180.99 and 2,244.68 is: 3,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.97 : 4,180.99 = 2,244.68 : x
  2. Step 2: Convert to fraction form
    2,785.97/4,180.99 = 2,244.68/x
  3. Step 3: Cross multiply
    2,785.97x = 4,180.99 × 2,244.68
  4. Step 4: Simplify right side
    2,785.97x = 9,384,997.89
  5. Step 5: Solve for x
    x = 9,384,997.89/2,785.97
  6. Step 6: Final answer
    x = 3,368.67

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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.