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Finding the Fourth Proportional to 2,796.64, 3,857.55 and 2,050.63

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Solution

The fourth proportional to 2,796.64, 3,857.55 and 2,050.63 is: 2,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.64 : 3,857.55 = 2,050.63 : x
  2. Step 2: Convert to fraction form
    2,796.64/3,857.55 = 2,050.63/x
  3. Step 3: Cross multiply
    2,796.64x = 3,857.55 × 2,050.63
  4. Step 4: Simplify right side
    2,796.64x = 7,910,407.76
  5. Step 5: Solve for x
    x = 7,910,407.76/2,796.64
  6. Step 6: Final answer
    x = 2,828.54

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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.