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Finding the Fourth Proportional to 3,441.84, 5,163.60 and 1,494.06

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Solution

The fourth proportional to 3,441.84, 5,163.60 and 1,494.06 is: 2,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.84 : 5,163.60 = 1,494.06 : x
  2. Step 2: Convert to fraction form
    3,441.84/5,163.60 = 1,494.06/x
  3. Step 3: Cross multiply
    3,441.84x = 5,163.60 × 1,494.06
  4. Step 4: Simplify right side
    3,441.84x = 7,714,728.22
  5. Step 5: Solve for x
    x = 7,714,728.22/3,441.84
  6. Step 6: Final answer
    x = 2,241.45

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1.5x scale

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.