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Finding the Fourth Proportional to 2,830.96, 3,906.04 and 1,902.16

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Solution

The fourth proportional to 2,830.96, 3,906.04 and 1,902.16 is: 2,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.96 : 3,906.04 = 1,902.16 : x
  2. Step 2: Convert to fraction form
    2,830.96/3,906.04 = 1,902.16/x
  3. Step 3: Cross multiply
    2,830.96x = 3,906.04 × 1,902.16
  4. Step 4: Simplify right side
    2,830.96x = 7,429,913.05
  5. Step 5: Solve for x
    x = 7,429,913.05/2,830.96
  6. Step 6: Final answer
    x = 2,624.52

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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.