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Finding the Fourth Proportional to 2,005.92, 2,770.56 and 1,612.32

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Solution

The fourth proportional to 2,005.92, 2,770.56 and 1,612.32 is: 2,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.92 : 2,770.56 = 1,612.32 : x
  2. Step 2: Convert to fraction form
    2,005.92/2,770.56 = 1,612.32/x
  3. Step 3: Cross multiply
    2,005.92x = 2,770.56 × 1,612.32
  4. Step 4: Simplify right side
    2,005.92x = 4,467,029.30
  5. Step 5: Solve for x
    x = 4,467,029.30/2,005.92
  6. Step 6: Final answer
    x = 2,226.92

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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.