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Finding the Fourth Proportional to 2,078.00, 3,104.82 and 2,005.32

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Solution

The fourth proportional to 2,078.00, 3,104.82 and 2,005.32 is: 2,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.00 : 3,104.82 = 2,005.32 : x
  2. Step 2: Convert to fraction form
    2,078.00/3,104.82 = 2,005.32/x
  3. Step 3: Cross multiply
    2,078.00x = 3,104.82 × 2,005.32
  4. Step 4: Simplify right side
    2,078.00x = 6,226,157.64
  5. Step 5: Solve for x
    x = 6,226,157.64/2,078.00
  6. Step 6: Final answer
    x = 2,996.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.