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Finding the Fourth Proportional to 2,785.72, 3,845.79 and 1,900

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Solution

The fourth proportional to 2,785.72, 3,845.79 and 1,900 is: 2,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.72 : 3,845.79 = 1,900 : x
  2. Step 2: Convert to fraction form
    2,785.72/3,845.79 = 1,900/x
  3. Step 3: Cross multiply
    2,785.72x = 3,845.79 × 1,900
  4. Step 4: Simplify right side
    2,785.72x = 7,307,001
  5. Step 5: Solve for x
    x = 7,307,001/2,785.72
  6. Step 6: Final answer
    x = 2,623.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.