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Finding the Fourth Proportional to 2,424.90, 3,640.05 and 1,331.40

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Solution

The fourth proportional to 2,424.90, 3,640.05 and 1,331.40 is: 1,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.90 : 3,640.05 = 1,331.40 : x
  2. Step 2: Convert to fraction form
    2,424.90/3,640.05 = 1,331.40/x
  3. Step 3: Cross multiply
    2,424.90x = 3,640.05 × 1,331.40
  4. Step 4: Simplify right side
    2,424.90x = 4,846,362.57
  5. Step 5: Solve for x
    x = 4,846,362.57/2,424.90
  6. Step 6: Final answer
    x = 1,998.58

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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.