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Finding the Fourth Proportional to 2,361.66, 3,542.48 and 630.28

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Solution

The fourth proportional to 2,361.66, 3,542.48 and 630.28 is: 945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.66 : 3,542.48 = 630.28 : x
  2. Step 2: Convert to fraction form
    2,361.66/3,542.48 = 630.28/x
  3. Step 3: Cross multiply
    2,361.66x = 3,542.48 × 630.28
  4. Step 4: Simplify right side
    2,361.66x = 2,232,761.48
  5. Step 5: Solve for x
    x = 2,232,761.48/2,361.66
  6. Step 6: Final answer
    x = 945.42

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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.