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Finding the Fourth Proportional to 2,361.94, 3,542.83 and 606.96

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Solution

The fourth proportional to 2,361.94, 3,542.83 and 606.96 is: 910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.94 : 3,542.83 = 606.96 : x
  2. Step 2: Convert to fraction form
    2,361.94/3,542.83 = 606.96/x
  3. Step 3: Cross multiply
    2,361.94x = 3,542.83 × 606.96
  4. Step 4: Simplify right side
    2,361.94x = 2,150,356.10
  5. Step 5: Solve for x
    x = 2,150,356.10/2,361.94
  6. Step 6: Final answer
    x = 910.42

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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.