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Finding the Fourth Proportional to 2,480.42, 3,423.07 and 1,361.40

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Solution

The fourth proportional to 2,480.42, 3,423.07 and 1,361.40 is: 1,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.42 : 3,423.07 = 1,361.40 : x
  2. Step 2: Convert to fraction form
    2,480.42/3,423.07 = 1,361.40/x
  3. Step 3: Cross multiply
    2,480.42x = 3,423.07 × 1,361.40
  4. Step 4: Simplify right side
    2,480.42x = 4,660,164.09
  5. Step 5: Solve for x
    x = 4,660,164.09/2,480.42
  6. Step 6: Final answer
    x = 1,878.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.