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Finding the Fourth Proportional to 3,205.46, 4,427.46 and 2,319.86

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Solution

The fourth proportional to 3,205.46, 4,427.46 and 2,319.86 is: 3,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.46 : 4,427.46 = 2,319.86 : x
  2. Step 2: Convert to fraction form
    3,205.46/4,427.46 = 2,319.86/x
  3. Step 3: Cross multiply
    3,205.46x = 4,427.46 × 2,319.86
  4. Step 4: Simplify right side
    3,205.46x = 10,271,087.36
  5. Step 5: Solve for x
    x = 10,271,087.36/3,205.46
  6. Step 6: Final answer
    x = 3,204.25

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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.