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Finding the Fourth Proportional to 2,980.38, 4,461.30 and 2,201.25

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Solution

The fourth proportional to 2,980.38, 4,461.30 and 2,201.25 is: 3,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.38 : 4,461.30 = 2,201.25 : x
  2. Step 2: Convert to fraction form
    2,980.38/4,461.30 = 2,201.25/x
  3. Step 3: Cross multiply
    2,980.38x = 4,461.30 × 2,201.25
  4. Step 4: Simplify right side
    2,980.38x = 9,820,436.63
  5. Step 5: Solve for x
    x = 9,820,436.63/2,980.38
  6. Step 6: Final answer
    x = 3,295.03

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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.