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Finding the Fourth Proportional to 3,208.40, 4,812.60 and 1,480.40

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Solution

The fourth proportional to 3,208.40, 4,812.60 and 1,480.40 is: 2,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.40 : 4,812.60 = 1,480.40 : x
  2. Step 2: Convert to fraction form
    3,208.40/4,812.60 = 1,480.40/x
  3. Step 3: Cross multiply
    3,208.40x = 4,812.60 × 1,480.40
  4. Step 4: Simplify right side
    3,208.40x = 7,124,573.04
  5. Step 5: Solve for x
    x = 7,124,573.04/3,208.40
  6. Step 6: Final answer
    x = 2,220.60

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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.