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Finding the Fourth Proportional to 3,323.16, 4,982.10 and 2,280.60

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Solution

The fourth proportional to 3,323.16, 4,982.10 and 2,280.60 is: 3,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.16 : 4,982.10 = 2,280.60 : x
  2. Step 2: Convert to fraction form
    3,323.16/4,982.10 = 2,280.60/x
  3. Step 3: Cross multiply
    3,323.16x = 4,982.10 × 2,280.60
  4. Step 4: Simplify right side
    3,323.16x = 11,362,177.26
  5. Step 5: Solve for x
    x = 11,362,177.26/3,323.16
  6. Step 6: Final answer
    x = 3,419.09

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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.