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Finding the Fourth Proportional to 2,908.42, 4,361.54 and 1,446.80

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Solution

The fourth proportional to 2,908.42, 4,361.54 and 1,446.80 is: 2,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.42 : 4,361.54 = 1,446.80 : x
  2. Step 2: Convert to fraction form
    2,908.42/4,361.54 = 1,446.80/x
  3. Step 3: Cross multiply
    2,908.42x = 4,361.54 × 1,446.80
  4. Step 4: Simplify right side
    2,908.42x = 6,310,276.07
  5. Step 5: Solve for x
    x = 6,310,276.07/2,908.42
  6. Step 6: Final answer
    x = 2,169.66

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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.