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Finding the Fourth Proportional to 2,828.80, 3,902.72 and 2,128.64

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Solution

The fourth proportional to 2,828.80, 3,902.72 and 2,128.64 is: 2,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.80 : 3,902.72 = 2,128.64 : x
  2. Step 2: Convert to fraction form
    2,828.80/3,902.72 = 2,128.64/x
  3. Step 3: Cross multiply
    2,828.80x = 3,902.72 × 2,128.64
  4. Step 4: Simplify right side
    2,828.80x = 8,307,485.90
  5. Step 5: Solve for x
    x = 8,307,485.90/2,828.80
  6. Step 6: Final answer
    x = 2,936.75

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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.