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Finding the Fourth Proportional to 2,480.70, 3,423.34 and 1,361.58

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Solution

The fourth proportional to 2,480.70, 3,423.34 and 1,361.58 is: 1,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.70 : 3,423.34 = 1,361.58 : x
  2. Step 2: Convert to fraction form
    2,480.70/3,423.34 = 1,361.58/x
  3. Step 3: Cross multiply
    2,480.70x = 3,423.34 × 1,361.58
  4. Step 4: Simplify right side
    2,480.70x = 4,661,151.28
  5. Step 5: Solve for x
    x = 4,661,151.28/2,480.70
  6. Step 6: Final answer
    x = 1,878.97

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