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Finding the Fourth Proportional to 2,905.72, 4,005.66 and 2,205.88

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Solution

The fourth proportional to 2,905.72, 4,005.66 and 2,205.88 is: 3,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.72 : 4,005.66 = 2,205.88 : x
  2. Step 2: Convert to fraction form
    2,905.72/4,005.66 = 2,205.88/x
  3. Step 3: Cross multiply
    2,905.72x = 4,005.66 × 2,205.88
  4. Step 4: Simplify right side
    2,905.72x = 8,836,005.28
  5. Step 5: Solve for x
    x = 8,836,005.28/2,905.72
  6. Step 6: Final answer
    x = 3,040.90

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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.