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Finding the Fourth Proportional to 2,361.94, 3,542.70 and 718.85

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Solution

The fourth proportional to 2,361.94, 3,542.70 and 718.85 is: 1,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.94 : 3,542.70 = 718.85 : x
  2. Step 2: Convert to fraction form
    2,361.94/3,542.70 = 718.85/x
  3. Step 3: Cross multiply
    2,361.94x = 3,542.70 × 718.85
  4. Step 4: Simplify right side
    2,361.94x = 2,546,669.90
  5. Step 5: Solve for x
    x = 2,546,669.90/2,361.94
  6. Step 6: Final answer
    x = 1,078.21

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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.