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Finding the Fourth Proportional to 3,205.20, 4,813.20 and 2,114.40

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Solution

The fourth proportional to 3,205.20, 4,813.20 and 2,114.40 is: 3,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.20 : 4,813.20 = 2,114.40 : x
  2. Step 2: Convert to fraction form
    3,205.20/4,813.20 = 2,114.40/x
  3. Step 3: Cross multiply
    3,205.20x = 4,813.20 × 2,114.40
  4. Step 4: Simplify right side
    3,205.20x = 10,177,030.08
  5. Step 5: Solve for x
    x = 10,177,030.08/3,205.20
  6. Step 6: Final answer
    x = 3,175.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.