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Finding the Fourth Proportional to 3,361.50, 5,041.98 and 1,280.61

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Solution

The fourth proportional to 3,361.50, 5,041.98 and 1,280.61 is: 1,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.50 : 5,041.98 = 1,280.61 : x
  2. Step 2: Convert to fraction form
    3,361.50/5,041.98 = 1,280.61/x
  3. Step 3: Cross multiply
    3,361.50x = 5,041.98 × 1,280.61
  4. Step 4: Simplify right side
    3,361.50x = 6,456,810.01
  5. Step 5: Solve for x
    x = 6,456,810.01/3,361.50
  6. Step 6: Final answer
    x = 1,920.81

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Why These Related Problems?

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