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Finding the Fourth Proportional to 2,788.06, 3,845.32 and 2,469.36

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Solution

The fourth proportional to 2,788.06, 3,845.32 and 2,469.36 is: 3,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.06 : 3,845.32 = 2,469.36 : x
  2. Step 2: Convert to fraction form
    2,788.06/3,845.32 = 2,469.36/x
  3. Step 3: Cross multiply
    2,788.06x = 3,845.32 × 2,469.36
  4. Step 4: Simplify right side
    2,788.06x = 9,495,487.64
  5. Step 5: Solve for x
    x = 9,495,487.64/2,788.06
  6. Step 6: Final answer
    x = 3,405.77

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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.