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Finding the Fourth Proportional to 2,780.82, 3,836.44 and 1,785.96

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Solution

The fourth proportional to 2,780.82, 3,836.44 and 1,785.96 is: 2,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.82 : 3,836.44 = 1,785.96 : x
  2. Step 2: Convert to fraction form
    2,780.82/3,836.44 = 1,785.96/x
  3. Step 3: Cross multiply
    2,780.82x = 3,836.44 × 1,785.96
  4. Step 4: Simplify right side
    2,780.82x = 6,851,728.38
  5. Step 5: Solve for x
    x = 6,851,728.38/2,780.82
  6. Step 6: Final answer
    x = 2,463.92

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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.